120:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000
Derivadas:@0.073089:0.043661:0.163191:0.043661:0.163191:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.2 Cociente incremental:@0.293660:0.136836:0.488801:0.136836:0.488801:0.119889:0.293660:0.119889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea   la función polinomial definida como  ( ) = 2  – 1 con      . Fijemos el punto  :@0.293660:0.164198:0.930943:0.164199:0.930943:0.147766:0.293660:0.147764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.324566:0.164198:0.333825:0.164198:0.333825:0.147792:0.324566:0.147792:0.000000
p x:@0.614112:0.164198:0.635814:0.164198:0.635814:0.147792:0.614112:0.147792:0.000000:0.000000:0.000000
x:@0.670475:0.164198:0.677930:0.164198:0.677930:0.147792:0.670475:0.147792:0.000000
3:@0.677968:0.158135:0.683205:0.158135:0.683205:0.148555:0.677968:0.148555:0.000000
x:@0.748790:0.164199:0.756244:0.164199:0.756244:0.147793:0.748790:0.147793:0.000000
∈:@0.761104:0.164598:0.775740:0.164598:0.775740:0.147746:0.761104:0.147746:0.000000
ℝ:@0.780611:0.164782:0.793901:0.164782:0.793901:0.147128:0.780611:0.147128:0.000000
a:@0.293665:0.180841:0.302924:0.180841:0.302924:0.164435:0.293665:0.164435:0.000000
 = –2. Sea   = –2 +   con   ≠ 0, se tiene::@0.302850:0.180841:0.588236:0.180841:0.588236:0.164407:0.302850:0.164407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.376369:0.180841:0.383824:0.180841:0.383824:0.164435:0.376369:0.164435:0.000000
h:@0.439359:0.180841:0.448857:0.180841:0.448857:0.164435:0.439359:0.164435:0.000000
h:@0.484309:0.180841:0.493807:0.180841:0.493807:0.164435:0.484309:0.164435:0.000000
p:@0.518675:0.204625:0.527934:0.204625:0.527934:0.188219:0.518675:0.188219:0.000000
(–2) = 2 · (–2)  – 1 = –17,:@0.527861:0.204625:0.701948:0.204630:0.701948:0.188196:0.527861:0.188191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.621841:0.198566:0.627078:0.198566:0.627078:0.188985:0.621841:0.188985:0.000000
p:@0.427091:0.228414:0.436350:0.228414:0.436350:0.212008:0.427091:0.212008:0.000000
(–2 +  ) = 2(–2 +  )  – 1 = –17 + 24  – 12  + 2 .:@0.436276:0.228414:0.793484:0.228421:0.793484:0.211987:0.436276:0.211980:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.477895:0.228414:0.487393:0.228414:0.487393:0.212008:0.477895:0.212008:0.000000
h:@0.561427:0.228414:0.570925:0.228414:0.570925:0.212008:0.561427:0.212008:0.000000
3:@0.575658:0.222357:0.580894:0.222357:0.580894:0.212776:0.575658:0.212776:0.000000
h:@0.689081:0.228421:0.698580:0.228421:0.698580:0.212014:0.689081:0.212014:0.000000
h:@0.733332:0.228421:0.742831:0.228421:0.742831:0.212014:0.733332:0.212014:0.000000
2:@0.742777:0.222357:0.748014:0.222357:0.748014:0.212776:0.742777:0.212776:0.000000
h:@0.775651:0.228421:0.785149:0.228421:0.785149:0.212014:0.775651:0.212014:0.000000
3:@0.785090:0.222357:0.790327:0.222357:0.790327:0.212776:0.785090:0.212776:0.000000
El cociente incremental está definido como sigue: :@0.293653:0.255782:0.658461:0.255782:0.658461:0.239349:0.293653:0.239349:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q h:@0.318522:0.288941:0.344623:0.288941:0.344623:0.272535:0.318522:0.272535:0.000000:0.000000:0.000000
( ) = :@0.330321:0.288941:0.368240:0.288941:0.368240:0.272508:0.330321:0.272508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.375777:0.279679:0.385035:0.279679:0.385035:0.263273:0.375777:0.263273:0.000000
(–2:@0.384962:0.279679:0.407879:0.279679:0.407879:0.263245:0.384962:0.263245:0.000000:0.000000:0.000000
 + h:@0.407787:0.279679:0.434661:0.279679:0.434661:0.263273:0.407787:0.263273:0.000000:0.000000:0.000000:0.000000
) –  ( 2):@0.434625:0.279679:0.493344:0.279679:0.493344:0.263245:0.434625:0.263245:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p –:@0.456437:0.279679:0.479630:0.279679:0.479630:0.263273:0.456437:0.263273:0.000000:0.000000:0.000000
h:@0.429802:0.296071:0.439300:0.296071:0.439300:0.279665:0.429802:0.279665:0.000000
 = :@0.500872:0.288943:0.519758:0.288943:0.519758:0.272509:0.500872:0.272509:0.000000:0.000000:0.000000
–17 + 24  – 12  + 2  + 17:@0.520970:0.279679:0.722392:0.279679:0.722392:0.263245:0.520970:0.263245:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.584493:0.279679:0.593991:0.279679:0.593991:0.263273:0.584493:0.263273:0.000000
h:@0.628744:0.279679:0.638242:0.279679:0.638242:0.263273:0.628744:0.263273:0.000000
2:@0.638182:0.273615:0.643419:0.273615:0.643419:0.264034:0.638182:0.264034:0.000000
h:@0.671057:0.279679:0.680555:0.279679:0.680555:0.263273:0.671057:0.263273:0.000000
3:@0.680497:0.273615:0.685734:0.273615:0.685734:0.264034:0.680497:0.264034:0.000000
h:@0.616918:0.296071:0.626416:0.296071:0.626416:0.279665:0.616918:0.279665:0.000000
 = 24 – 12  + 2 ,     ≠ 0.:@0.723570:0.288943:0.902053:0.288935:0.902053:0.272501:0.723570:0.272509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.794990:0.288943:0.804488:0.288943:0.804488:0.272537:0.794990:0.272537:0.000000
h:@0.832099:0.288943:0.841597:0.288943:0.841597:0.272537:0.832099:0.272537:0.000000
2:@0.841549:0.282871:0.846786:0.282871:0.846786:0.273290:0.841549:0.273290:0.000000
h:@0.861705:0.288935:0.871203:0.288935:0.871203:0.272529:0.861705:0.272529:0.000000
Para valores de | | no nulos y cada vez más próximos a 0, el cociente incremental se :@0.293638:0.319875:0.931096:0.319875:0.931096:0.303441:0.293638:0.303441:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.415384:0.319875:0.424882:0.319875:0.424882:0.303469:0.415384:0.303469:0.000000
aproxima cada vez a 24. Calculemos la distancia de 24 a  ( ), esto es,  (24,  ( )),   ≠ 0. Se :@0.293638:0.336517:0.930916:0.336517:0.930916:0.320083:0.293638:0.320083:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q h:@0.692708:0.336517:0.718772:0.336517:0.718772:0.320111:0.692708:0.320111:0.000000:0.000000:0.000000
d:@0.786272:0.336517:0.795531:0.336517:0.795531:0.320111:0.786272:0.320111:0.000000
Q h h:@0.824559:0.336517:0.876154:0.336517:0.876154:0.320111:0.824559:0.320111:0.000000:0.000000:0.000000:0.000000:0.000000
tiene::@0.293638:0.353159:0.333729:0.353159:0.333729:0.336725:0.293638:0.336725:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.390645:0.373378:0.399903:0.373378:0.399903:0.356972:0.390645:0.356972:0.000000
(24,  ( )) = |24 –  ( )| = |24 – (24 – 12  + 2 )| = |12  – 2 |.:@0.399830:0.373378:0.829915:0.373372:0.829915:0.356938:0.399830:0.356945:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q h:@0.429502:0.373378:0.455604:0.373378:0.455604:0.356972:0.429502:0.356972:0.000000:0.000000:0.000000
Q h:@0.522569:0.373378:0.548671:0.373378:0.548671:0.356972:0.522569:0.356972:0.000000:0.000000:0.000000
h:@0.672092:0.373378:0.681590:0.373378:0.681590:0.356972:0.672092:0.356972:0.000000
h:@0.709201:0.373378:0.718699:0.373378:0.718699:0.356972:0.709201:0.356972:0.000000
2:@0.718680:0.367308:0.723917:0.367308:0.723917:0.357727:0.718680:0.357727:0.000000
h:@0.772906:0.373372:0.782405:0.373372:0.782405:0.356966:0.772906:0.356966:0.000000
h:@0.808248:0.373372:0.817746:0.373372:0.817746:0.356966:0.808248:0.356966:0.000000
2:@0.817695:0.367308:0.822931:0.367308:0.822931:0.357727:0.817695:0.357727:0.000000
Por la desigualdad triangular, se tiene:  (24,  ( )) = |12  – 2 | ≤ 12| | + 2 .:@0.293657:0.404312:0.838187:0.404308:0.838187:0.387875:0.293657:0.387878:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.570281:0.404312:0.579540:0.404312:0.579540:0.387906:0.570281:0.387906:0.000000
Q h:@0.609139:0.404312:0.635240:0.404312:0.635240:0.387906:0.609139:0.387906:0.000000:0.000000:0.000000
h:@0.685179:0.404312:0.694677:0.404312:0.694677:0.387906:0.685179:0.387906:0.000000
h:@0.720521:0.404312:0.730019:0.404312:0.730019:0.387906:0.720521:0.387906:0.000000
2:@0.729989:0.398245:0.735226:0.398245:0.735226:0.388663:0.729989:0.388663:0.000000
h:@0.779411:0.404308:0.788909:0.404308:0.788909:0.387902:0.779411:0.387902:0.000000
h:@0.820349:0.404308:0.829847:0.404308:0.829847:0.387902:0.820349:0.387902:0.000000
2:@0.829795:0.398245:0.835032:0.398245:0.835032:0.388663:0.829795:0.388663:0.000000
Notemos que si 0 < | | < 1, entonces 0 <   ≤ | | < 1. Luego, 0 < 12| | + 2  < 1 siempre :@0.293663:0.440241:0.931014:0.440245:0.931014:0.423811:0.293663:0.423807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.443959:0.440241:0.453457:0.440241:0.453457:0.423835:0.443959:0.423835:0.000000
h:@0.591879:0.440241:0.601378:0.440241:0.601378:0.423835:0.591879:0.423835:0.000000
2:@0.601322:0.434181:0.606559:0.434181:0.606559:0.424600:0.601322:0.424600:0.000000
h:@0.629410:0.440245:0.638908:0.440245:0.638908:0.423839:0.629410:0.423839:0.000000
h:@0.780405:0.440245:0.789903:0.440245:0.789903:0.423839:0.780405:0.423839:0.000000
h:@0.821637:0.440245:0.831135:0.440245:0.831135:0.423839:0.821637:0.423839:0.000000
2:@0.831090:0.434181:0.836327:0.434181:0.836327:0.424600:0.831090:0.424600:0.000000
que 0 < | | < :@0.293652:0.465457:0.389664:0.465457:0.389664:0.449023:0.293652:0.449023:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.357543:0.465457:0.367041:0.465457:0.367041:0.449051:0.357543:0.449051:0.000000
1:@0.394584:0.457990:0.403566:0.457990:0.403566:0.441556:0.394584:0.441556:0.000000
14:@0.390129:0.474382:0.408021:0.474382:0.408021:0.457948:0.390129:0.457948:0.000000:0.000000
. Así  (24,  ( )) = |12  – 2 | ≤ 12| | + 2  < 1 siempre que 0 < | | < 1, es :@0.408481:0.465465:0.930946:0.465459:0.930946:0.449026:0.408481:0.449031:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.440596:0.465465:0.449855:0.465465:0.449855:0.449058:0.440596:0.449058:0.000000
Q h:@0.479460:0.465465:0.505561:0.465465:0.505561:0.449058:0.479460:0.449058:0.000000:0.000000:0.000000
h:@0.555500:0.465465:0.564998:0.465465:0.564998:0.449058:0.555500:0.449058:0.000000
h:@0.590842:0.465465:0.600340:0.465465:0.600340:0.449058:0.590842:0.449058:0.000000
2:@0.600273:0.459396:0.605510:0.459396:0.605510:0.449815:0.600273:0.449815:0.000000
h:@0.649695:0.465459:0.659193:0.465459:0.659193:0.449053:0.649695:0.449053:0.000000
h:@0.690633:0.465459:0.700131:0.465459:0.700131:0.449053:0.690633:0.449053:0.000000
2:@0.700064:0.459396:0.705301:0.459396:0.705301:0.449815:0.700064:0.449815:0.000000
h:@0.863189:0.465459:0.872687:0.465459:0.872687:0.449053:0.863189:0.449053:0.000000
decir,  (24,  ( )) puede hacerse tan pequeño como se quiera, tomando valores de | | :@0.293650:0.490672:0.930946:0.490672:0.930946:0.474238:0.293650:0.474238:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.337330:0.490672:0.346589:0.490672:0.346589:0.474266:0.337330:0.474266:0.000000
Q h:@0.377477:0.490672:0.403799:0.490672:0.403799:0.474266:0.377477:0.474266:0.000000:0.000000:0.000000
h:@0.913478:0.490672:0.922976:0.490672:0.922976:0.474266:0.913478:0.474266:0.000000
cada vez más cercanos a 0. En estas condiciones, se dice que  ( ) se aproxima tanto :@0.293668:0.515884:0.931073:0.515884:0.931073:0.499450:0.293668:0.499450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q h:@0.755819:0.515884:0.782234:0.515884:0.782234:0.499478:0.755819:0.499478:0.000000:0.000000:0.000000
como se quiera a 24. Se escribe::@0.293687:0.541097:0.523339:0.541097:0.523339:0.524663:0.293687:0.524663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.385711:0.582211:0.392187:0.582211:0.392187:0.571025:0.385711:0.571025:0.000000
→:@0.392142:0.581650:0.402878:0.581650:0.402878:0.571611:0.392142:0.571611:0.000000
0:@0.402822:0.582211:0.408946:0.582211:0.408946:0.571006:0.402822:0.571006:0.000000
lím:@0.387723:0.572150:0.409775:0.572150:0.409775:0.555744:0.387723:0.555744:0.000000:0.000000:0.000000
  ( ) = :@0.412904:0.576935:0.466580:0.576935:0.466580:0.560501:0.412904:0.560501:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q h:@0.416862:0.576935:0.442963:0.576935:0.442963:0.560528:0.416862:0.560528:0.000000:0.000000:0.000000
h:@0.466479:0.582211:0.472955:0.582211:0.472955:0.571025:0.466479:0.571025:0.000000
→:@0.472910:0.581650:0.483646:0.581650:0.483646:0.571611:0.472910:0.571611:0.000000
0:@0.483590:0.582211:0.489714:0.582211:0.489714:0.571006:0.483590:0.571006:0.000000
lím:@0.468491:0.572150:0.490542:0.572150:0.490542:0.555744:0.468491:0.555744:0.000000:0.000000:0.000000
 :@0.493672:0.576935:0.497703:0.576935:0.497703:0.560501:0.493672:0.560501:0.000000
p:@0.507626:0.568575:0.516885:0.568575:0.516885:0.552168:0.507626:0.552168:0.000000
(–2:@0.516811:0.568575:0.539728:0.568575:0.539728:0.552141:0.516811:0.552141:0.000000:0.000000:0.000000
 + h:@0.539636:0.568575:0.566511:0.568575:0.566511:0.552168:0.539636:0.552168:0.000000:0.000000:0.000000:0.000000
) –  (–2):@0.566474:0.568575:0.625193:0.568575:0.625193:0.552141:0.566474:0.552141:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.588287:0.568575:0.597545:0.568575:0.597545:0.552168:0.588287:0.552168:0.000000
h:@0.561651:0.584967:0.571149:0.584967:0.571149:0.568561:0.561651:0.568561:0.000000
 = :@0.635096:0.576937:0.653982:0.576937:0.653982:0.560503:0.635096:0.560503:0.000000:0.000000:0.000000
h:@0.653895:0.582211:0.660371:0.582211:0.660371:0.571025:0.653895:0.571025:0.000000
→:@0.660326:0.581650:0.671062:0.581650:0.671062:0.571611:0.660326:0.571611:0.000000
0:@0.671005:0.582211:0.677130:0.582211:0.677130:0.571006:0.671005:0.571006:0.000000
lím:@0.655907:0.572150:0.677958:0.572150:0.677958:0.555744:0.655907:0.555744:0.000000:0.000000:0.000000
(24 – 12  + 2 ) = 24,:@0.681088:0.576935:0.834902:0.576937:0.834902:0.560503:0.681088:0.560501:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.738518:0.576935:0.748016:0.576935:0.748016:0.560528:0.738518:0.560528:0.000000
h:@0.775627:0.576935:0.785125:0.576935:0.785125:0.560528:0.775627:0.560528:0.000000
2:@0.785075:0.570873:0.790312:0.570873:0.790312:0.561292:0.785075:0.561292:0.000000
que se lee “límite del cociente incremental igual a 24 cuando   tiende a 0”. A este valor se :@0.293655:0.611441:0.931032:0.611441:0.931032:0.595007:0.293655:0.595007:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.731232:0.611441:0.740730:0.611441:0.740730:0.595035:0.731232:0.595035:0.000000
le llama derivada de la función   en el punto:@0.293655:0.628083:0.615719:0.628083:0.615719:0.611649:0.293655:0.611649:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.518463:0.628083:0.527722:0.628083:0.527722:0.611677:0.518463:0.611677:0.000000
x:@0.293655:0.660008:0.301110:0.660008:0.301110:0.643602:0.293655:0.643602:0.000000
 = –2, y se escribe :@0.301036:0.660008:0.432569:0.660008:0.432569:0.643574:0.301036:0.643574:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dp:@0.436370:0.651985:0.454814:0.651985:0.454814:0.635579:0.436370:0.635579:0.000000:0.000000
dx:@0.437272:0.668378:0.453912:0.668378:0.453912:0.651972:0.437272:0.651972:0.000000:0.000000
 (–2) = 24, o también,  (–2) = 24.:@0.458735:0.660015:0.694992:0.660015:0.694992:0.643581:0.458735:0.643581:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p':@0.616062:0.660015:0.627566:0.660015:0.627566:0.643609:0.616062:0.643609:0.000000:0.000000
Ejercicio resuelto:@0.293658:0.694519:0.422240:0.694519:0.422240:0.677850:0.293658:0.677850:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.  Sean :@0.293660:0.721891:0.357250:0.721891:0.357250:0.705457:0.293660:0.705457:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c :@0.357249:0.721891:0.368238:0.721891:0.368238:0.705485:0.357249:0.705485:0.000000:0.000000
∈:@0.368270:0.722290:0.382906:0.722290:0.382906:0.705438:0.368270:0.705438:0.000000
   con  ≠ 0 y   la función polinomial definida por:@0.382818:0.721891:0.749417:0.721891:0.749417:0.705457:0.382818:0.705457:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.386776:0.722474:0.400066:0.722474:0.400066:0.704820:0.386776:0.704820:0.000000
c :@0.436052:0.721891:0.447041:0.721891:0.447041:0.705485:0.436052:0.705485:0.000000:0.000000
p:@0.487298:0.721891:0.496557:0.721891:0.496557:0.705485:0.487298:0.705485:0.000000
 :@0.293660:0.749254:0.297691:0.749254:0.297691:0.732821:0.293660:0.732821:0.000000
p x:@0.317377:0.749254:0.339006:0.749254:0.339006:0.732848:0.317377:0.732848:0.000000:0.000000:0.000000
( ) = :@0.326654:0.749254:0.362880:0.749254:0.362880:0.732821:0.326654:0.732821:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cx:@0.362788:0.749254:0.377918:0.749254:0.377918:0.732848:0.362788:0.732848:0.000000:0.000000
4:@0.377952:0.743191:0.383189:0.743191:0.383189:0.733610:0.377952:0.733610:0.000000
 + 2  – 5, :@0.383195:0.749254:0.451891:0.749254:0.451891:0.732821:0.383195:0.732821:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.411063:0.749254:0.418518:0.749254:0.418518:0.732848:0.411063:0.732848:0.000000
∀:@0.451780:0.749837:0.464058:0.749837:0.464058:0.732183:0.451780:0.732183:0.000000
x:@0.463966:0.749254:0.471421:0.749254:0.471421:0.732848:0.463966:0.732848:0.000000
    . Sea      , calculemos el cociente incremental  ( ) para :@0.471439:0.749254:0.930964:0.749254:0.930964:0.732821:0.471439:0.732821:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.475398:0.749653:0.490035:0.749653:0.490035:0.732801:0.475398:0.732801:0.000000
ℝ:@0.493794:0.749837:0.507084:0.749837:0.507084:0.732183:0.493794:0.732183:0.000000
a:@0.544138:0.749254:0.553397:0.749254:0.553397:0.732848:0.544138:0.732848:0.000000
∈:@0.557364:0.749653:0.572000:0.749653:0.572000:0.732801:0.557364:0.732801:0.000000
ℝ:@0.575760:0.749837:0.589050:0.749837:0.589050:0.732183:0.575760:0.732183:0.000000
Q h:@0.859434:0.749254:0.885719:0.749254:0.885719:0.732848:0.859434:0.732848:0.000000:0.000000:0.000000
h :@0.317377:0.765896:0.330207:0.765896:0.330207:0.749490:0.317377:0.749490:0.000000:0.000000
∈:@0.330240:0.766295:0.344877:0.766295:0.344877:0.749443:0.330240:0.749443:0.000000
  , tal que   ≠ 0.:@0.344789:0.765896:0.464878:0.765896:0.464878:0.749462:0.344789:0.749462:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.348746:0.766479:0.362036:0.766479:0.362036:0.748825:0.348746:0.748825:0.000000
h:@0.424069:0.765896:0.433567:0.765896:0.433567:0.749490:0.424069:0.749490:0.000000
 :@0.293660:0.797262:0.297691:0.797262:0.297691:0.780829:0.293660:0.780829:0.000000
Q h:@0.317377:0.797262:0.343479:0.797262:0.343479:0.780856:0.317377:0.780856:0.000000:0.000000:0.000000
( ) = :@0.329176:0.797262:0.367095:0.797262:0.367095:0.780829:0.329176:0.780829:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p a + h:@0.373976:0.789792:0.424025:0.789792:0.424025:0.773386:0.373976:0.773386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.383161:0.789792:0.388039:0.789792:0.388039:0.773359:0.383161:0.773359:0.000000
) –  ( ):@0.423989:0.789792:0.473854:0.789792:0.473854:0.773359:0.423989:0.773359:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p a:@0.445801:0.789792:0.469049:0.789792:0.469049:0.773386:0.445801:0.773386:0.000000:0.000000:0.000000
h:@0.419166:0.806185:0.428664:0.806185:0.428664:0.789779:0.419166:0.789779:0.000000
 = :@0.480756:0.797267:0.499642:0.797267:0.499642:0.780834:0.480756:0.780834:0.000000:0.000000:0.000000
c a + h:@0.499554:0.789792:0.548002:0.789792:0.548002:0.773386:0.499554:0.773386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.507137:0.789792:0.512015:0.789792:0.512015:0.773359:0.507137:0.773359:0.000000
)  + 2(:@0.547965:0.789792:0.590551:0.789792:0.590551:0.773359:0.547965:0.773359:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.552762:0.783729:0.557999:0.783729:0.557999:0.774148:0.552762:0.774148:0.000000
a + h:@0.590440:0.789792:0.626500:0.789792:0.626500:0.773386:0.590440:0.773386:0.000000:0.000000:0.000000:0.000000:0.000000
) – 5 – (:@0.626463:0.789792:0.679145:0.789792:0.679145:0.773359:0.626463:0.773359:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ca  + a – 5:@0.679016:0.789792:0.760989:0.789792:0.760989:0.773386:0.679016:0.773386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.695497:0.783729:0.700734:0.783729:0.700734:0.774148:0.695497:0.774148:0.000000
 2:@0.714842:0.789792:0.727782:0.789792:0.727782:0.773359:0.714842:0.773359:0.000000:0.000000
):@0.760952:0.789792:0.765830:0.789792:0.765830:0.773359:0.760952:0.773359:0.000000
h:@0.629984:0.806185:0.639482:0.806185:0.639482:0.789779:0.629984:0.789779:0.000000
=:@0.317369:0.828627:0.328358:0.828627:0.328358:0.812193:0.317369:0.812193:0.000000
c a  +  a h +  a h:@0.332402:0.821159:0.460170:0.821159:0.460170:0.804752:0.332402:0.804752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.339986:0.821159:0.344864:0.821159:0.344864:0.804725:0.339986:0.804725:0.000000
4:@0.353982:0.815095:0.359219:0.815095:0.359219:0.805514:0.353982:0.805514:0.000000
4:@0.376566:0.821159:0.385549:0.821159:0.385549:0.804725:0.376566:0.804725:0.000000
3:@0.394664:0.815095:0.399901:0.815095:0.399901:0.805514:0.394664:0.805514:0.000000
  6:@0.409279:0.821159:0.436375:0.821159:0.436375:0.804725:0.409279:0.804725:0.000000:0.000000:0.000000
2 2:@0.445481:0.815095:0.465340:0.815095:0.465340:0.805514:0.445481:0.805514:0.000000:0.000000:0.000000
 + 4:@0.465293:0.821159:0.493088:0.821159:0.493088:0.804725:0.465293:0.804725:0.000000:0.000000:0.000000:0.000000
ah + h:@0.492977:0.821159:0.544392:0.821159:0.544392:0.804752:0.492977:0.804752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.511610:0.815095:0.516847:0.815095:0.516847:0.805514:0.511610:0.805514:0.000000
 :@0.516800:0.821159:0.520831:0.821159:0.520831:0.804725:0.516800:0.804725:0.000000
4:@0.544333:0.815095:0.549570:0.815095:0.549570:0.805514:0.544333:0.805514:0.000000
) + 2  + 2:@0.549524:0.821159:0.618993:0.821159:0.618993:0.804725:0.549524:0.804725:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.582013:0.821159:0.591272:0.821159:0.591272:0.804752:0.582013:0.804752:0.000000
h – 5 ca  – a + 5:@0.618883:0.821159:0.751405:0.821159:0.751405:0.804752:0.618883:0.804752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 – :@0.652384:0.821159:0.669503:0.821159:0.669503:0.804725:0.652384:0.804725:0.000000:0.000000:0.000000
4:@0.685912:0.815095:0.691149:0.815095:0.691149:0.805514:0.685912:0.805514:0.000000
 2:@0.703491:0.821159:0.716431:0.821159:0.716431:0.804725:0.703491:0.804725:0.000000:0.000000
h:@0.543477:0.837551:0.552975:0.837551:0.552975:0.821145:0.543477:0.821145:0.000000
=:@0.317369:0.859993:0.328358:0.859993:0.328358:0.843559:0.317369:0.843559:0.000000
ch a  +  a h:@0.337898:0.852523:0.433182:0.852523:0.433182:0.836117:0.337898:0.836117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(4:@0.354924:0.852523:0.368712:0.852523:0.368712:0.836090:0.354924:0.836090:0.000000:0.000000
3:@0.377813:0.846459:0.383050:0.846459:0.383050:0.836879:0.377813:0.836879:0.000000
6:@0.400397:0.852523:0.409380:0.852523:0.409380:0.836090:0.400397:0.836090:0.000000
2:@0.418495:0.846459:0.423732:0.846459:0.423732:0.836879:0.418495:0.836879:0.000000
 + 4:@0.433108:0.852523:0.460903:0.852523:0.460903:0.836090:0.433108:0.836090:0.000000:0.000000:0.000000:0.000000
ah + h:@0.460793:0.852523:0.512216:0.852523:0.512216:0.836117:0.460793:0.836117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.479433:0.846459:0.484670:0.846459:0.484670:0.836879:0.479433:0.836879:0.000000
 :@0.484624:0.852523:0.488655:0.852523:0.488655:0.836090:0.484624:0.836090:0.000000
3:@0.512156:0.846459:0.517393:0.846459:0.517393:0.836879:0.512156:0.836879:0.000000
) + 2:@0.517347:0.852523:0.549946:0.852523:0.549946:0.836090:0.517347:0.836090:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.549836:0.852523:0.559334:0.852523:0.559334:0.836117:0.549836:0.836117:0.000000
h:@0.443865:0.868916:0.453363:0.868916:0.453363:0.852509:0.443865:0.852509:0.000000
= (4  + 6:@0.317369:0.889143:0.396567:0.889143:0.396567:0.872709:0.317369:0.872709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c a:@0.332402:0.889143:0.363216:0.889143:0.363216:0.872737:0.332402:0.872737:0.000000:0.000000:0.000000
3:@0.363253:0.883079:0.368490:0.883079:0.368490:0.873498:0.363253:0.873498:0.000000
a h:@0.396548:0.889143:0.420583:0.889143:0.420583:0.872737:0.396548:0.872737:0.000000:0.000000:0.000000
2:@0.405841:0.883079:0.411077:0.883079:0.411077:0.873498:0.405841:0.873498:0.000000
 + 4:@0.420602:0.889143:0.448673:0.889143:0.448673:0.872709:0.420602:0.872709:0.000000:0.000000:0.000000:0.000000
ah:@0.448654:0.889143:0.467430:0.889143:0.467430:0.872737:0.448654:0.872737:0.000000:0.000000
2:@0.467478:0.883079:0.472715:0.883079:0.472715:0.873498:0.467478:0.873498:0.000000
 +  ) + 2,     ≠ 0.:@0.472721:0.889143:0.595665:0.889143:0.595665:0.872709:0.472721:0.872709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.491791:0.889143:0.501289:0.889143:0.501289:0.872737:0.491791:0.872737:0.000000
3:@0.501312:0.883079:0.506549:0.883079:0.506549:0.873498:0.501312:0.873498:0.000000
h:@0.554856:0.889143:0.564354:0.889143:0.564354:0.872737:0.554856:0.872737:0.000000
Para   =    y   = 2, se tiene:  ( ) = :@0.293657:0.920513:0.545689:0.920514:0.545689:0.904081:0.293657:0.904079:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.328115:0.920513:0.335773:0.920513:0.335773:0.904107:0.328115:0.904107:0.000000
1:@0.357125:0.913039:0.366108:0.913039:0.366108:0.896606:0.357125:0.896606:0.000000
4:@0.357125:0.929432:0.366108:0.929432:0.366108:0.912998:0.357125:0.912998:0.000000
a:@0.388509:0.920514:0.397768:0.920514:0.397768:0.904108:0.388509:0.904108:0.000000
Q h:@0.495971:0.920514:0.522072:0.920514:0.522072:0.904108:0.495971:0.904108:0.000000:0.000000:0.000000
p  + h:@0.552874:0.913039:0.602629:0.913039:0.602629:0.896633:0.552874:0.896633:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(2:@0.562060:0.913039:0.575847:0.913039:0.575847:0.896606:0.562060:0.896606:0.000000:0.000000
) –  (2):@0.602592:0.913039:0.652182:0.913039:0.652182:0.896606:0.602592:0.896606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.624405:0.913039:0.633664:0.913039:0.633664:0.896633:0.624405:0.896633:0.000000
h:@0.597770:0.929432:0.607268:0.929432:0.607268:0.913026:0.597770:0.913026:0.000000
 =   (32 + 24  + 8  +  ) + 2,   ≠ 0. :@0.659360:0.920514:0.924555:0.920509:0.924555:0.904075:0.659360:0.904081:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.680786:0.913039:0.689769:0.913039:0.689769:0.896606:0.680786:0.896606:0.000000
4:@0.680786:0.929432:0.689769:0.929432:0.689769:0.912998:0.680786:0.912998:0.000000
h:@0.755465:0.920514:0.764963:0.920514:0.764963:0.904108:0.755465:0.904108:0.000000
h:@0.792574:0.920514:0.802072:0.920514:0.802072:0.904108:0.792574:0.904108:0.000000
2:@0.802015:0.914445:0.807252:0.914445:0.807252:0.904864:0.802015:0.904864:0.000000
h:@0.826000:0.920509:0.835498:0.920509:0.835498:0.904103:0.826000:0.904103:0.000000
3:@0.835427:0.914445:0.840664:0.914445:0.840664:0.904864:0.835427:0.904864:0.000000
h:@0.880175:0.920509:0.889674:0.920509:0.889674:0.904103:0.880175:0.904103:0.000000
Dada una función :@0.078581:0.182928:0.200219:0.182928:0.200219:0.167988:0.078581:0.167988:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.078581:0.198057:0.082848:0.198057:0.082848:0.183142:0.078581:0.183142:0.000000
 definida en un :@0.082781:0.198057:0.185711:0.198057:0.185711:0.183117:0.082781:0.183117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
subconjunto   de  , esta :@0.078581:0.213186:0.248664:0.213186:0.248664:0.198246:0.078581:0.198246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.166467:0.213186:0.175453:0.213186:0.175453:0.198271:0.166467:0.198271:0.000000
ℝ:@0.199634:0.213715:0.211716:0.213715:0.211716:0.197666:0.199634:0.197666:0.000000
es derivable en x   A si y :@0.078564:0.228315:0.247359:0.228315:0.247359:0.213375:0.078564:0.213375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.192354:0.228189:0.206294:0.228189:0.206294:0.215417:0.192354:0.215417:0.000000
solo si existe:@0.078564:0.243444:0.160570:0.243444:0.160570:0.228504:0.078564:0.228504:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.078581:0.269443:0.084409:0.269443:0.084409:0.259376:0.078581:0.259376:0.000000
→:@0.084368:0.268938:0.094031:0.268938:0.094031:0.259903:0.084368:0.259903:0.000000
0:@0.093980:0.269443:0.099492:0.269443:0.099492:0.259359:0.093980:0.259359:0.000000
lím:@0.080391:0.260389:0.100238:0.260389:0.100238:0.245624:0.080391:0.245624:0.000000:0.000000:0.000000
 :@0.103055:0.264729:0.106720:0.264729:0.106720:0.249789:0.103055:0.249789:0.000000
f x:@0.110880:0.259625:0.127133:0.259625:0.127133:0.243965:0.110880:0.243965:0.000000:0.000000:0.000000
(  +  ):@0.115360:0.259625:0.159023:0.259625:0.159023:0.243938:0.115360:0.243938:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h  – f x:@0.145301:0.259625:0.190387:0.259625:0.190387:0.243965:0.145301:0.243965:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.178614:0.259625:0.195043:0.259625:0.195043:0.243938:0.178614:0.243938:0.000000:0.000000:0.000000
h:@0.148428:0.276014:0.157495:0.276014:0.157495:0.260353:0.148428:0.260353:0.000000
 .:@0.199202:0.264729:0.205712:0.264729:0.205712:0.249789:0.199202:0.249789:0.000000:0.000000
En tal caso, este límite es :@0.078585:0.290574:0.244046:0.290574:0.244046:0.275634:0.078585:0.275634:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
notado :@0.078585:0.313646:0.130493:0.313646:0.130493:0.298706:0.078585:0.298706:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
df:@0.134391:0.306761:0.147709:0.306761:0.147709:0.291100:0.134391:0.291100:0.000000:0.000000
dx:@0.133073:0.323149:0.149027:0.323149:0.149027:0.307489:0.133073:0.307489:0.000000:0.000000
 ( ),  '( ) :@0.151650:0.313652:0.206336:0.313652:0.206336:0.298712:0.151650:0.298712:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x f  x:@0.159598:0.313652:0.198304:0.313652:0.198304:0.298737:0.159598:0.298737:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
llamado derivada de   en  .:@0.078573:0.337720:0.254881:0.337720:0.254881:0.322780:0.078573:0.322780:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.216945:0.337720:0.221213:0.337720:0.221213:0.322805:0.216945:0.322805:0.000000
x:@0.245259:0.337720:0.252036:0.337720:0.252036:0.322805:0.245259:0.322805:0.000000
El proceso de cálculo :@0.078556:0.356416:0.221402:0.356416:0.221402:0.341477:0.078556:0.341477:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la derivada consiste :@0.078556:0.371545:0.232227:0.371545:0.232227:0.356606:0.078556:0.356606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en formar el cociente :@0.078556:0.386674:0.222531:0.386674:0.222531:0.371734:0.078556:0.371734:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
incremental::@0.078556:0.401803:0.160631:0.401803:0.160631:0.386863:0.078556:0.386863:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.082815:0.417986:0.099067:0.417986:0.099067:0.402326:0.082815:0.402326:0.000000:0.000000:0.000000
(  +  ):@0.087295:0.417986:0.130958:0.417986:0.130958:0.402299:0.087295:0.402299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h  – f x:@0.117235:0.417986:0.162321:0.417986:0.162321:0.402326:0.117235:0.402326:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.150549:0.417986:0.166978:0.417986:0.166978:0.402299:0.150549:0.402299:0.000000:0.000000:0.000000
h:@0.120363:0.434375:0.129429:0.434375:0.129429:0.418714:0.120363:0.418714:0.000000
, donde :@0.171136:0.422197:0.225170:0.422197:0.225170:0.407257:0.171136:0.407257:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.078581:0.452455:0.085359:0.452455:0.085359:0.437540:0.078581:0.437540:0.000000
    ,       con   ≠ 0, :@0.085292:0.452455:0.235913:0.452455:0.235913:0.437515:0.085292:0.437515:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.088889:0.452984:0.102829:0.452984:0.102829:0.436935:0.088889:0.436935:0.000000
A h:@0.106343:0.452455:0.130323:0.452455:0.130323:0.437540:0.106343:0.437540:0.000000:0.000000:0.000000
∈ ℝ:@0.133853:0.452984:0.163389:0.452984:0.163389:0.436935:0.133853:0.436935:0.000000:0.000000:0.000000
h:@0.195601:0.452455:0.204236:0.452455:0.204236:0.437540:0.195601:0.437540:0.000000
x:@0.078565:0.467584:0.085342:0.467584:0.085342:0.452669:0.078565:0.452669:0.000000
 +      .:@0.085275:0.467584:0.143810:0.467584:0.143810:0.452644:0.085275:0.452644:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.102360:0.467584:0.110995:0.467584:0.110995:0.452669:0.102360:0.452669:0.000000
∈:@0.114526:0.468113:0.128465:0.468113:0.128465:0.452064:0.114526:0.452064:0.000000
A:@0.131979:0.467584:0.140965:0.467584:0.140965:0.452669:0.131979:0.452669:0.000000
A continuación, se realizan :@0.078565:0.486281:0.257645:0.486281:0.257645:0.471341:0.078565:0.471341:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los cálculos pertinentes en :@0.078565:0.501410:0.257773:0.501410:0.257773:0.486470:0.078565:0.486470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el cociente incremental :@0.078565:0.516539:0.237239:0.516539:0.237239:0.501599:0.078565:0.501599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para simplificar. Luego, se :@0.078565:0.531668:0.249782:0.531668:0.249782:0.516728:0.078565:0.516728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hace | | suficientemente :@0.078565:0.546796:0.244066:0.546796:0.244066:0.531857:0.078565:0.531857:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.117488:0.546796:0.126122:0.546796:0.126122:0.531882:0.117488:0.531882:0.000000
pequeño, y se calcula::@0.078565:0.561925:0.222789:0.561925:0.222789:0.546986:0.078565:0.546986:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.078581:0.592398:0.084409:0.592398:0.084409:0.582331:0.078581:0.582331:0.000000
→:@0.084369:0.591893:0.094031:0.591893:0.094031:0.582858:0.084369:0.582858:0.000000
0:@0.093980:0.592398:0.099492:0.592398:0.099492:0.582314:0.093980:0.582314:0.000000
lím:@0.080391:0.583344:0.100238:0.583344:0.100238:0.568579:0.080391:0.568579:0.000000:0.000000:0.000000
 :@0.103055:0.585897:0.106720:0.585897:0.106720:0.570957:0.103055:0.570957:0.000000
f x:@0.110880:0.581686:0.127133:0.581686:0.127133:0.566026:0.110880:0.566026:0.000000:0.000000:0.000000
(  +  ):@0.115361:0.581686:0.159023:0.581686:0.159023:0.565999:0.115361:0.565999:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h  – f x:@0.145301:0.581686:0.190387:0.581686:0.190387:0.566026:0.145301:0.566026:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.178615:0.581686:0.195043:0.581686:0.195043:0.565999:0.178615:0.565999:0.000000:0.000000:0.000000
h:@0.148428:0.598075:0.157495:0.598075:0.157495:0.582414:0.148428:0.582414:0.000000
 .:@0.199202:0.585897:0.205712:0.585897:0.205712:0.570957:0.199202:0.570957:0.000000:0.000000
El cociente incremental se :@0.078585:0.611742:0.254705:0.611742:0.254705:0.596803:0.078585:0.596803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
denomina también tasa :@0.078585:0.626871:0.240000:0.626871:0.240000:0.611932:0.078585:0.611932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de variación de la función :@0.078585:0.642000:0.252026:0.642000:0.252026:0.627061:0.078585:0.627061:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.078585:0.657129:0.082852:0.657129:0.082852:0.642215:0.078585:0.642215:0.000000
 en  .:@0.082785:0.657129:0.116520:0.657129:0.116520:0.642189:0.082785:0.642189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.106898:0.657129:0.113676:0.657129:0.113676:0.642215:0.106898:0.642215:0.000000
Competencia :@0.078568:0.140955:0.177259:0.140955:0.177259:0.125549:0.078568:0.125549:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.078568:0.156084:0.167182:0.156084:0.167182:0.140678:0.078568:0.140678:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Simbología matemática :@0.090101:0.741695:0.249399:0.740648:0.249232:0.726252:0.089935:0.727299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las notaciones que más :@0.081649:0.767758:0.243677:0.766693:0.243504:0.751753:0.081476:0.752819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se suelen emplear para :@0.081825:0.782887:0.237929:0.781860:0.237756:0.766921:0.081652:0.767947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
denotar la derivada de :@0.082000:0.798015:0.234031:0.797015:0.233858:0.782076:0.081827:0.783076:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una función son::@0.082175:0.813143:0.192046:0.812421:0.191872:0.797481:0.082002:0.798204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dy:@0.085091:0.832881:0.101062:0.832776:0.100881:0.817116:0.084910:0.817221:0.000000:0.000000
dx:@0.085281:0.849269:0.101234:0.849164:0.101053:0.833504:0.085099:0.833609:0.000000:0.000000
 :@0.103879:0.850370:0.107544:0.850346:0.107371:0.835407:0.103706:0.835431:0.000000
,  ',:@0.107346:0.839000:0.124564:0.838887:0.124391:0.823947:0.107173:0.824061:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.113771:0.838958:0.120565:0.838913:0.120392:0.823999:0.113598:0.824044:0.000000
 :@0.124612:0.850233:0.128276:0.850209:0.128103:0.835270:0.124439:0.835294:0.000000
d:@0.134262:0.832557:0.143099:0.832499:0.142918:0.816839:0.134080:0.816897:0.000000
dx:@0.130885:0.848968:0.146838:0.848863:0.146657:0.833203:0.130703:0.833308:0.000000:0.000000
 :@0.149482:0.850070:0.153147:0.850046:0.152974:0.835107:0.149309:0.835131:0.000000
[ ( )] ,:@0.152919:0.836179:0.187808:0.835949:0.187635:0.821010:0.152746:0.821239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.157287:0.836150:0.172631:0.836049:0.172458:0.821135:0.157114:0.821236:0.000000:0.000000:0.000000
 :@0.187868:0.849817:0.191533:0.849793:0.191360:0.834854:0.187695:0.834878:0.000000
df(x):@0.192986:0.832171:0.222731:0.831975:0.222550:0.816316:0.192804:0.816511:0.000000:0.000000:0.000000:0.000000:0.000000
dx:@0.200063:0.848514:0.216016:0.848409:0.215835:0.832749:0.199882:0.832854:0.000000:0.000000
,:@0.224591:0.849577:0.227502:0.849558:0.227329:0.834618:0.224418:0.834638:0.000000
D f D y f' x:@0.082826:0.869207:0.172615:0.868622:0.172443:0.853708:0.082653:0.854293:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.093273:0.872028:0.097224:0.872002:0.097123:0.863307:0.093172:0.863333:0.000000
,   :@0.103550:0.869076:0.117255:0.868986:0.117081:0.854046:0.103377:0.854136:0.000000:0.000000:0.000000:0.000000
x:@0.127616:0.871802:0.131568:0.871776:0.131467:0.863081:0.127516:0.863107:0.000000
,    ( ).:@0.140421:0.868833:0.179827:0.868574:0.179654:0.853635:0.140248:0.853894:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Y se lee como “derivada :@0.083066:0.891489:0.241369:0.890448:0.241196:0.875508:0.082893:0.876549:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la función y con :@0.083242:0.906617:0.212489:0.905767:0.212316:0.890828:0.083069:0.891678:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
respecto a x\.:@0.083417:0.921745:0.168897:0.921183:0.168724:0.906244:0.083244:0.906806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000