184:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000
Aplicaciones de la derivada:@0.073089:0.043661:0.316384:0.043661:0.316384:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En la gráfica de la Figura 3.6 se presenta el resumen del análisis de concavidad.:@0.293660:0.136836:0.860327:0.136836:0.860327:0.120402:0.293660:0.120402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Figura 3.6:@0.581712:0.163569:0.638906:0.163569:0.638906:0.150123:0.581712:0.150123:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.878847:0.237808:0.887511:0.237808:0.887511:0.220003:0.878847:0.220003:0.000000
f’’(x) < 0:@0.450825:0.218691:0.512675:0.218691:0.512675:0.200886:0.450825:0.200886:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f’’(x) > 0 f’’(x) < 0:@0.584190:0.218691:0.715702:0.218691:0.715702:0.200886:0.584190:0.200886:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f’’(x) > 0:@0.761020:0.218691:0.822871:0.218691:0.822871:0.200886:0.761020:0.200886:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.646857:0.239920:0.655103:0.239920:0.655103:0.225364:0.646857:0.225364:0.000000
-√2:@0.578263:0.240744:0.600479:0.240744:0.600479:0.226188:0.578263:0.226188:0.000000:0.000000:0.000000
√2:@0.693250:0.240744:0.710531:0.240744:0.710531:0.226188:0.693250:0.226188:0.000000:0.000000
Cóncava:@0.461936:0.247300:0.504409:0.247300:0.504409:0.235790:0.461936:0.235790:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hacia abajo:@0.455447:0.258602:0.510898:0.258602:0.510898:0.247093:0.455447:0.247093:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cóncava:@0.660797:0.247300:0.703270:0.247300:0.703270:0.235790:0.660797:0.235790:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hacia abajo:@0.654308:0.258602:0.709759:0.258602:0.709759:0.247093:0.654308:0.247093:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cóncava:@0.592918:0.247752:0.635391:0.247752:0.635391:0.236242:0.592918:0.236242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hacia arriba:@0.585904:0.259054:0.642405:0.259054:0.642405:0.247545:0.585904:0.247545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cóncava:@0.773324:0.247752:0.815797:0.247752:0.815797:0.236242:0.773324:0.236242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hacia arriba:@0.766310:0.259054:0.822811:0.259054:0.822811:0.247545:0.766310:0.247545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8.  Gráfica::@0.293660:0.299513:0.380736:0.299513:0.380736:0.282843:0.293660:0.282843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La gráfica de la Figura 3.7 contiene la información general obtenida.:@0.293670:0.324378:0.783458:0.324378:0.783458:0.307945:0.293670:0.307945:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Figura 3.7:@0.581712:0.351107:0.638906:0.351107:0.638906:0.337662:0.581712:0.337662:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f’(x) > 0:@0.445870:0.392429:0.497423:0.392429:0.497423:0.376906:0.445870:0.376906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f’(x) > 0:@0.584955:0.392429:0.636508:0.392429:0.636508:0.376906:0.584955:0.376906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f’(x) > 0:@0.656322:0.392429:0.707875:0.392429:0.707875:0.376906:0.656322:0.376906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f’(x) > 0:@0.758420:0.392429:0.809973:0.392429:0.809973:0.376906:0.758420:0.376906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.712074:0.410221:0.719289:0.410221:0.719289:0.397531:0.712074:0.397531:0.000000
-2:@0.566559:0.410221:0.578092:0.410221:0.578092:0.397531:0.566559:0.397531:0.000000:0.000000
0:@0.639724:0.410221:0.646940:0.410221:0.646940:0.397531:0.639724:0.397531:0.000000
Creciente:@0.450510:0.415012:0.497017:0.415012:0.497017:0.403544:0.450510:0.403544:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Decreciente Decreciente:@0.585430:0.415012:0.711136:0.415012:0.711136:0.403544:0.585430:0.403544:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Creciente:@0.749431:0.415012:0.795938:0.415012:0.795938:0.403544:0.749431:0.403544:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.844628:0.611707:0.852180:0.611707:0.852180:0.596184:0.844628:0.596184:0.000000
y:@0.625103:0.464490:0.632656:0.464490:0.632656:0.448967:0.625103:0.448967:0.000000
0:@0.634102:0.604219:0.641291:0.604219:0.641291:0.591529:0.634102:0.591529:0.000000
-2 -√2:@0.566759:0.604219:0.602238:0.606056:0.602238:0.593366:0.566759:0.591529:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.710736:0.604219:0.717925:0.604219:0.717925:0.591529:0.710736:0.591529:0.000000
4:@0.781401:0.604219:0.788589:0.604219:0.788589:0.591529:0.781401:0.591529:0.000000
6:@0.849081:0.604219:0.856269:0.604219:0.856269:0.591529:0.849081:0.591529:0.000000
-4:@0.494090:0.604219:0.505580:0.604219:0.505580:0.591529:0.494090:0.591529:0.000000:0.000000
-6:@0.422921:0.604219:0.434411:0.604219:0.434411:0.591529:0.422921:0.591529:0.000000:0.000000
-8:@0.359332:0.604219:0.370823:0.604219:0.370823:0.591529:0.359332:0.591529:0.000000:0.000000
2:@0.634088:0.561852:0.641277:0.561852:0.641277:0.549162:0.634088:0.549162:0.000000
-4:@0.630375:0.672843:0.641865:0.672843:0.641865:0.660153:0.630375:0.660153:0.000000:0.000000
-6:@0.630375:0.711462:0.641865:0.711462:0.641865:0.698772:0.630375:0.698772:0.000000:0.000000
4:@0.634088:0.524362:0.641277:0.524362:0.641277:0.511672:0.634088:0.511672:0.000000
6:@0.634088:0.485363:0.641277:0.485363:0.641277:0.472673:0.634088:0.472673:0.000000
√2:@0.686229:0.606447:0.701292:0.606447:0.701292:0.593757:0.686229:0.593757:0.000000:0.000000
Máximo relativo:@0.462294:0.513250:0.550853:0.513250:0.550853:0.500349:0.462294:0.500349:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Mínimo:@0.648449:0.682845:0.695013:0.682845:0.695013:0.669944:0.648449:0.669944:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
relativo:@0.648449:0.692231:0.694914:0.692231:0.694914:0.679330:0.648449:0.679330:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Punto de inexión:@0.404226:0.550792:0.503925:0.550792:0.503925:0.537891:0.404226:0.537891:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Punto de:@0.792147:0.643455:0.847061:0.643455:0.847061:0.630554:0.792147:0.630554:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inexión:@0.792147:0.652841:0.845240:0.652841:0.845240:0.639940:0.792147:0.639940:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(-2,4):@0.558492:0.513169:0.597578:0.513169:0.597578:0.496249:0.558492:0.496249:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(2,-4):@0.704267:0.686481:0.743353:0.686481:0.743353:0.669561:0.704267:0.669561:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(-√2, -2.58199):@0.700830:0.645548:0.784937:0.645548:0.784937:0.630038:0.700830:0.630038:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
-2:@0.630394:0.635716:0.641884:0.635716:0.641884:0.623026:0.630394:0.623026:0.000000:0.000000
f(x) =:@0.751569:0.469375:0.784222:0.469375:0.784222:0.455078:0.751569:0.455078:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.5:@0.786588:0.463242:0.806037:0.463242:0.806037:0.448957:0.786588:0.448957:0.000000:0.000000:0.000000
x:@0.806037:0.463242:0.812994:0.463242:0.812994:0.448945:0.806037:0.448945:0.000000
5 :@0.812992:0.459464:0.822349:0.459464:0.822349:0.447775:0.812992:0.447775:0.000000:0.000000
-10:@0.822348:0.463245:0.843375:0.463245:0.843375:0.448960:0.822348:0.448960:0.000000:0.000000:0.000000
x:@0.843375:0.463245:0.850332:0.463245:0.850332:0.448948:0.843375:0.448948:0.000000
3:@0.850331:0.459464:0.856952:0.459464:0.856952:0.447775:0.850331:0.447775:0.000000
R:@0.817526:0.477518:0.826012:0.477518:0.826012:0.463233:0.817526:0.463233:0.000000
(-0,0):@0.649052:0.590540:0.688138:0.590540:0.688138:0.573619:0.649052:0.573619:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Punto de inexión:@0.696156:0.590676:0.795855:0.590676:0.795855:0.577775:0.696156:0.577775:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(-√2, 2.58199):@0.507353:0.552844:0.587487:0.552844:0.587487:0.537334:0.507353:0.537334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.642019:0.769003:0.649207:0.769003:0.649207:0.756313:0.642019:0.756313:0.000000
-√2:@0.582228:0.769721:0.601593:0.769721:0.601593:0.757031:0.582228:0.757031:0.000000:0.000000:0.000000
√2:@0.682459:0.769721:0.697522:0.769721:0.697522:0.757031:0.682459:0.757031:0.000000:0.000000
Cóncava:@0.480305:0.775438:0.517327:0.775438:0.517327:0.765404:0.480305:0.765404:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hacia abajo:@0.474648:0.785292:0.522984:0.785292:0.522984:0.775257:0.474648:0.775257:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cóncava:@0.655216:0.776226:0.692239:0.776226:0.692239:0.766192:0.655216:0.766192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hacia abajo:@0.649560:0.786080:0.697895:0.786080:0.697895:0.776046:0.649560:0.776046:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cóncava:@0.596571:0.776620:0.633593:0.776620:0.633593:0.766586:0.596571:0.766586:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hacia arriba:@0.590457:0.786474:0.639708:0.786474:0.639708:0.776440:0.590457:0.776440:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cóncava:@0.750165:0.775044:0.787187:0.775044:0.787187:0.765009:0.750165:0.765009:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hacia arriba:@0.744051:0.784897:0.793302:0.784897:0.793302:0.774863:0.744051:0.774863:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f’’(x) < 0:@0.469182:0.749579:0.523095:0.749579:0.523095:0.734056:0.469182:0.734056:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f’’(x) > 0 f’’(x) < 0:@0.588047:0.749186:0.702683:0.749186:0.702683:0.733663:0.588047:0.733663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f’’(x) > 0:@0.742186:0.749186:0.796100:0.749186:0.796100:0.733663:0.742186:0.733663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.842152:0.767716:0.849705:0.767716:0.849705:0.752193:0.842152:0.752193:0.000000
x:@0.844824:0.408492:0.852377:0.408492:0.852377:0.392969:0.844824:0.392969:0.000000
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