158:@0.053974:0.966765:0.079386:0.966765:0.079386:0.950778:0.053974:0.950778:0.000000:0.000000:0.000000
M.5.1.49. Interpretar de manera geométrica y física la primera derivada (pendiente de la tangente, velocidad instantánea) de funciones polinomiales de grado ≤ 4, con apoyo :@0.143130:0.928946:0.894288:0.928946:0.894288:0.918904:0.143130:0.918904:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de las TIC. :@0.143130:0.937747:0.189895:0.937747:0.189895:0.927705:0.143130:0.927705:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.1.50. Interpretar de manera física la segunda derivada (aceleración media, aceleración instantánea) de una función polinomial de grado ≤4, para analizar la monotonía, :@0.143130:0.946548:0.894310:0.946548:0.894310:0.936506:0.143130:0.936506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinar los máximos y mínimos de estas funciones y graficarlas con apoyo de las TIC (calculadora gráfica, software, applets).:@0.143130:0.955349:0.693853:0.955349:0.693853:0.945307:0.143130:0.945307:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interpretación física de la primera :@0.404235:0.116974:0.841472:0.116974:0.841472:0.072315:0.404235:0.072315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y segunda derivada:@0.404235:0.154693:0.644665:0.154693:0.644665:0.110034:0.404235:0.110034:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Velocidad media e instantánea, aceleración:@0.404236:0.182864:0.751224:0.182864:0.751224:0.165182:0.404236:0.165182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En física, en el estudio de la cinemática de un cuerpo, una de las apli-:@0.404236:0.199572:0.891811:0.199572:0.891811:0.183074:0.404236:0.183074:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
caciones de las derivadas de funciones reales es el cálculo de la velo-:@0.404236:0.216923:0.891836:0.216923:0.891836:0.200425:0.404236:0.200425:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cidad y de la aceleración de cuerpos.:@0.404236:0.234274:0.662963:0.234274:0.662963:0.217776:0.404236:0.217776:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Consideremos un automóvil que se mueve en una vía que supone-:@0.404236:0.268975:0.891838:0.268975:0.891838:0.252477:0.404236:0.252477:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mos horizontal y recta. El conductor observa un obstáculo en la vía :@0.404236:0.286326:0.895957:0.286326:0.895957:0.269828:0.404236:0.269828:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y frena. La función de desplazamiento de este automóvil, medido en :@0.404236:0.303677:0.895976:0.303677:0.895976:0.287179:0.404236:0.287179:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
metros, está definida como::@0.404236:0.321027:0.600567:0.321027:0.600567:0.304530:0.404236:0.304530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S t:@0.519577:0.345622:0.539074:0.345622:0.539074:0.329153:0.519577:0.329153:0.000000:0.000000:0.000000
( ) = 3 + 15  – 0,5  – 0,025 ,    > 0.:@0.527457:0.345506:0.776438:0.345506:0.776438:0.329008:0.527457:0.329009:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.608698:0.345622:0.614362:0.345622:0.614362:0.329153:0.608698:0.329153:0.000000
t:@0.652893:0.345622:0.658557:0.345622:0.658557:0.329153:0.652893:0.329153:0.000000
2:@0.658548:0.339154:0.663501:0.339154:0.663501:0.329536:0.658548:0.329536:0.000000
t t:@0.719022:0.345621:0.746095:0.345621:0.746095:0.329153:0.719022:0.329153:0.000000:0.000000:0.000000
4:@0.724686:0.339221:0.729392:0.339221:0.729392:0.329620:0.724686:0.329620:0.000000
Calculamos los desplazamientos en los cinco primeros segundos::@0.404233:0.362856:0.864224:0.362856:0.864224:0.346359:0.404233:0.346359:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.404233:0.392396:0.412112:0.392396:0.412112:0.375927:0.404233:0.375927:0.000000
(1) = 17,475 m,   (2) = 30,6 m,   (3) = 41,475 m,   (4) = 48,6 m, :@0.412112:0.392280:0.856215:0.392280:0.856215:0.375783:0.412112:0.375783:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.526760:0.392396:0.534639:0.392396:0.534639:0.375927:0.526760:0.375927:0.000000
S:@0.632295:0.392396:0.640174:0.392396:0.640174:0.375927:0.632295:0.375927:0.000000
S:@0.754822:0.392396:0.762701:0.392396:0.762701:0.375927:0.754822:0.375927:0.000000
S:@0.404233:0.409747:0.412112:0.409747:0.412112:0.393278:0.404233:0.393278:0.000000
(5) = 49,875 m.:@0.412112:0.409631:0.518476:0.409631:0.518476:0.393134:0.412112:0.393134:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calculamos la velocidad  ( ) en cada uno de estos instantes. Para el :@0.404233:0.444333:0.895938:0.444333:0.895938:0.427835:0.404233:0.427835:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v t:@0.582822:0.444448:0.602222:0.444448:0.602222:0.427980:0.582822:0.427980:0.000000:0.000000:0.000000
efecto, calculamos la derivada de la función  . Se tiene::@0.404233:0.461683:0.790054:0.461683:0.790054:0.445186:0.404233:0.445186:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.716480:0.461799:0.724360:0.461799:0.724360:0.445330:0.716480:0.445330:0.000000
v t:@0.404233:0.491223:0.423633:0.491223:0.423633:0.474754:0.404233:0.474754:0.000000:0.000000:0.000000
( ) = lím                              = 15 –   – 0,1 ,    > 0.:@0.412016:0.491107:0.748041:0.491101:0.748041:0.474603:0.412016:0.474610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.646185:0.491223:0.651849:0.491223:0.651849:0.474754:0.646185:0.474754:0.000000
t t:@0.690380:0.491223:0.717698:0.491217:0.717698:0.474748:0.690380:0.474754:0.000000:0.000000:0.000000
3:@0.696041:0.484749:0.700994:0.484749:0.700994:0.475131:0.696041:0.475131:0.000000
Desde el punto de vista físico, la velocidad mide el cambio de despla-:@0.404233:0.529360:0.891671:0.529360:0.891671:0.512862:0.404233:0.512862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
zamiento instantáneo. Notemos que la velocidad se mide en:@0.404233:0.546710:0.834191:0.546710:0.834191:0.530213:0.404233:0.530213:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
                , lo que se abrevia       (también en                    , que se :@0.404233:0.571189:0.851551:0.571189:0.851551:0.554692:0.404233:0.554692:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
escribe        ).  En los automotores se tiene un dispositivo que mide:@0.404233:0.602797:0.876573:0.602797:0.876573:0.586299:0.404233:0.586299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la velocidad, llamado velocímetro. En el panel de los automotores, la :@0.404233:0.627276:0.890983:0.627276:0.890983:0.610778:0.404233:0.610778:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
velocidad a la que este se mueve se marca en         . Calculamos:@0.404233:0.651755:0.851160:0.651755:0.851160:0.635257:0.404233:0.635257:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
algunos valores de velocidades  (1) = 13,9       ,   (2) = 12,2       ,:@0.404233:0.685285:0.848443:0.685285:0.848443:0.668787:0.404233:0.668787:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 v:@0.625818:0.685401:0.637743:0.685401:0.637743:0.668932:0.625818:0.668932:0.000000:0.000000
v:@0.744066:0.685401:0.751849:0.685401:0.751849:0.668932:0.744066:0.668932:0.000000
v:@0.404233:0.713437:0.412016:0.713437:0.412016:0.696968:0.404233:0.696968:0.000000
(3) = 9,3       ,   (4) = 4,6       ,   (5) = 2,5       .:@0.412016:0.713321:0.709028:0.713321:0.709028:0.696823:0.412016:0.696823:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.508400:0.713437:0.516183:0.713437:0.516183:0.696968:0.508400:0.696968:0.000000
v:@0.612567:0.713437:0.620350:0.713437:0.620350:0.696968:0.612567:0.696968:0.000000
Observamos que la velocidad decrece, y que, en casi cinco segundos, :@0.404233:0.745752:0.895973:0.745752:0.895973:0.729255:0.404233:0.729255:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el automóvil se detiene, habiendo recorrido aproximadamente 49 m.:@0.404233:0.763103:0.890580:0.763103:0.890580:0.746605:0.404233:0.746605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La aceleración se denota con  ( ) y se define como::@0.404233:0.797805:0.768421:0.797805:0.768421:0.781307:0.404233:0.781307:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a t:@0.613683:0.797920:0.634277:0.797920:0.634277:0.781452:0.613683:0.781452:0.000000:0.000000:0.000000
a t:@0.525874:0.822399:0.546468:0.822399:0.546468:0.805931:0.525874:0.805931:0.000000:0.000000:0.000000
( ) =       ( ) = lím                           .:@0.534851:0.822284:0.770138:0.822284:0.770138:0.805786:0.534851:0.805786:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.602318:0.822399:0.607982:0.822399:0.607982:0.805931:0.602318:0.805931:0.000000
Desde el punto de vista físico, la aceleración mide el cambio de velo-:@0.404233:0.856985:0.891675:0.856985:0.891675:0.840487:0.404233:0.840487:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cidad instantáneo. Dado que:@0.404233:0.874336:0.609286:0.874336:0.609286:0.857838:0.404233:0.857838:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v t:@0.404233:0.903876:0.423633:0.903876:0.423633:0.887407:0.404233:0.887407:0.000000:0.000000:0.000000
( ) = lím                           , tenemos que  ( ) =        ( ).:@0.412016:0.903760:0.782410:0.903760:0.782410:0.887262:0.412016:0.887262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a t:@0.687451:0.903876:0.708046:0.903876:0.708046:0.887407:0.687451:0.887407:0.000000:0.000000:0.000000
t:@0.768038:0.903876:0.773702:0.903876:0.773702:0.887407:0.768038:0.887407:0.000000
S t + h:@0.482128:0.483394:0.530195:0.483394:0.530195:0.466925:0.482128:0.466925:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.490008:0.483278:0.495961:0.483278:0.495961:0.466781:0.490008:0.466781:0.000000
) –  (:@0.530195:0.483278:0.568764:0.483278:0.568764:0.466781:0.530195:0.466781:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S t):@0.554932:0.483394:0.579861:0.483394:0.579861:0.466925:0.554932:0.466925:0.000000:0.000000:0.000000:0.000000
h:@0.526284:0.499733:0.535686:0.499733:0.535686:0.483264:0.526284:0.483264:0.000000
S t + h:@0.479041:0.896105:0.527107:0.896105:0.527107:0.879637:0.479041:0.879637:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.486920:0.895990:0.492873:0.895990:0.492873:0.879492:0.486920:0.879492:0.000000
) –  (:@0.527107:0.895990:0.565677:0.895990:0.565677:0.879492:0.527107:0.879492:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S t):@0.551844:0.896105:0.576773:0.896105:0.576773:0.879637:0.551844:0.879637:0.000000:0.000000:0.000000:0.000000
h:@0.523197:0.912444:0.532598:0.912444:0.532598:0.895975:0.523197:0.895975:0.000000
v t + h:@0.663999:0.814713:0.711969:0.814713:0.711969:0.798244:0.663999:0.798244:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.671782:0.814597:0.677735:0.814597:0.677735:0.798099:0.671782:0.798099:0.000000
) –  (:@0.711969:0.814597:0.750442:0.814597:0.750442:0.798099:0.711969:0.798099:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v t):@0.736706:0.814713:0.761539:0.814713:0.761539:0.798244:0.736706:0.798244:0.000000:0.000000:0.000000:0.000000
h:@0.708058:0.831051:0.717460:0.831051:0.717460:0.814583:0.708058:0.814583:0.000000
metros:@0.412391:0.564324:0.460188:0.564324:0.460188:0.547855:0.412391:0.547855:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
segundos:@0.404570:0.580662:0.468010:0.580662:0.468010:0.564194:0.404570:0.564194:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
kilómetros:@0.719074:0.564324:0.790779:0.564324:0.790779:0.547855:0.719074:0.547855:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
horas:@0.735661:0.580662:0.774173:0.580662:0.774173:0.564194:0.735661:0.564194:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.602759:0.564324:0.617555:0.564324:0.617555:0.547855:0.602759:0.547855:0.000000
s:@0.606959:0.580662:0.613335:0.580662:0.613335:0.564194:0.606959:0.564194:0.000000
m:@0.713733:0.677522:0.728529:0.677522:0.728529:0.661054:0.713733:0.661054:0.000000
s:@0.717933:0.693861:0.724310:0.693861:0.724310:0.677392:0.717933:0.677392:0.000000
m:@0.686747:0.705294:0.701543:0.705294:0.701543:0.688825:0.686747:0.688825:0.000000
s:@0.690947:0.721632:0.697324:0.721632:0.697324:0.705164:0.690947:0.705164:0.000000
m:@0.826278:0.677522:0.841073:0.677522:0.841073:0.661054:0.826278:0.661054:0.000000
s:@0.830477:0.693861:0.836854:0.693861:0.836854:0.677392:0.830477:0.677392:0.000000
m:@0.478411:0.705294:0.493206:0.705294:0.493206:0.688825:0.478411:0.688825:0.000000
s:@0.482611:0.721632:0.488987:0.721632:0.488987:0.705164:0.482611:0.705164:0.000000
m:@0.582316:0.705294:0.597112:0.705294:0.597112:0.688825:0.582316:0.688825:0.000000
s:@0.586516:0.721632:0.592892:0.721632:0.592892:0.705164:0.586516:0.705164:0.000000
km:@0.460998:0.595836:0.483789:0.595836:0.483789:0.579367:0.460998:0.579367:0.000000:0.000000
h:@0.467683:0.612174:0.477085:0.612174:0.477085:0.595705:0.467683:0.595705:0.000000
km:@0.733612:0.644345:0.756403:0.644345:0.756403:0.627876:0.733612:0.627876:0.000000:0.000000
h:@0.740297:0.660683:0.749698:0.660683:0.749698:0.644215:0.740297:0.644215:0.000000
d S:@0.736894:0.896112:0.758897:0.896112:0.758897:0.879643:0.736894:0.879643:0.000000:0.000000:0.000000
2:@0.746064:0.889644:0.751017:0.889644:0.751017:0.880026:0.746064:0.880026:0.000000
dt:@0.738052:0.912450:0.752790:0.912450:0.752790:0.895982:0.738052:0.895982:0.000000:0.000000
2:@0.752788:0.905989:0.757741:0.905989:0.757741:0.896371:0.752788:0.896371:0.000000
dv:@0.573941:0.814368:0.590837:0.814368:0.590837:0.797900:0.573941:0.797900:0.000000:0.000000
dt:@0.575020:0.830707:0.589758:0.830707:0.589758:0.814238:0.575020:0.814238:0.000000:0.000000
h:@0.448622:0.498416:0.454753:0.498416:0.454753:0.487676:0.448622:0.487676:0.000000
→:@0.454753:0.497734:0.465501:0.497734:0.465501:0.487723:0.454753:0.487723:0.000000
0:@0.465498:0.498341:0.471039:0.498341:0.471039:0.487581:0.465498:0.487581:0.000000
h:@0.448624:0.911128:0.454756:0.911128:0.454756:0.900388:0.448624:0.900388:0.000000
→:@0.454753:0.910446:0.465501:0.910446:0.465501:0.900434:0.454753:0.900434:0.000000
0:@0.465498:0.911052:0.471039:0.911052:0.471039:0.900293:0.465498:0.900293:0.000000
h:@0.632390:0.830635:0.638521:0.830635:0.638521:0.819895:0.632390:0.819895:0.000000
→:@0.638522:0.829953:0.649269:0.829953:0.649269:0.819942:0.638522:0.819942:0.000000
0:@0.649267:0.830560:0.654808:0.830560:0.654808:0.819800:0.649267:0.819800:0.000000
Saberes previos:@0.199646:0.097890:0.307805:0.097890:0.307805:0.082418:0.199646:0.082418:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cómo calculas la pri-:@0.199884:0.126518:0.341165:0.126518:0.341165:0.111455:0.199884:0.111455:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mera derivada de una función :@0.153341:0.142360:0.352087:0.142360:0.352087:0.127297:0.153341:0.127297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
polinomial de grado ≤4?:@0.153341:0.158202:0.311542:0.158202:0.311542:0.143139:0.153341:0.143139:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desequilibrio cognitivo:@0.199646:0.205196:0.363493:0.205196:0.363493:0.189724:0.199646:0.189724:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué aplicaciones tiene :@0.199884:0.233823:0.356627:0.233823:0.356627:0.218760:0.199884:0.218760:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la derivada de una función :@0.153341:0.249665:0.329397:0.249665:0.329397:0.234602:0.153341:0.234602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
polinomial ≤4?:@0.153341:0.265507:0.249996:0.265507:0.249996:0.250444:0.153341:0.250444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para funciones polino-:@0.200418:0.376323:0.345761:0.376323:0.345761:0.361260:0.200418:0.361260:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
miales de grado 2, la derivada :@0.153347:0.392165:0.346132:0.392165:0.346132:0.377102:0.153347:0.377102:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de esta función se aplicó a la :@0.153347:0.408007:0.341135:0.408007:0.341135:0.392944:0.153347:0.392944:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
obtención de la pendiente de :@0.153347:0.423849:0.347891:0.423849:0.347891:0.408786:0.153347:0.408786:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la recta tangente a la gráfica del :@0.153347:0.439691:0.360167:0.439691:0.360167:0.424628:0.153347:0.424628:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
polinomio en un punto asigna-:@0.153347:0.455533:0.354575:0.455533:0.354575:0.440470:0.153347:0.440470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
do, al cálculo de velocidades, :@0.153347:0.471375:0.342964:0.471375:0.342964:0.456312:0.153347:0.456312:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aceleraciones de cuerpos así, :@0.153347:0.487217:0.340732:0.487217:0.340732:0.472154:0.153347:0.472154:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
si p es un polinomio de grado 2, :@0.153347:0.503059:0.363703:0.503059:0.363703:0.487996:0.153347:0.487996:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.153347:0.519007:0.161544:0.519007:0.161544:0.503970:0.153347:0.503970:0.000000
    , se tiene::@0.161544:0.518901:0.252468:0.518901:0.252468:0.503838:0.161544:0.503838:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.165322:0.518402:0.178579:0.518402:0.178579:0.506302:0.165322:0.506302:0.000000
:@0.182361:0.517899:0.194456:0.517899:0.194456:0.506206:0.182361:0.506206:0.000000
m:@0.153348:0.541978:0.166857:0.541978:0.166857:0.526941:0.153348:0.526941:0.000000
 =        ( )  pendiente,:@0.166822:0.541872:0.316863:0.541872:0.316863:0.526809:0.166822:0.526809:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.215775:0.541978:0.223972:0.541978:0.223972:0.526941:0.215775:0.526941:0.000000
v t:@0.153348:0.573860:0.170991:0.573860:0.170991:0.558823:0.153348:0.558823:0.000000:0.000000:0.000000
( ) =        ( )  velocidad,:@0.160419:0.573754:0.313257:0.573754:0.313257:0.558691:0.160419:0.558691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.222741:0.573860:0.227912:0.573860:0.227912:0.558823:0.222741:0.558823:0.000000
a t:@0.153348:0.605742:0.172081:0.605742:0.172081:0.590705:0.153348:0.590705:0.000000:0.000000:0.000000
( ) =        ( )  aceleración. :@0.161510:0.605636:0.327067:0.605636:0.327067:0.590573:0.161510:0.590573:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.226399:0.605742:0.231571:0.605742:0.231571:0.590705:0.226399:0.590705:0.000000
Nota que::@0.153348:0.635736:0.217358:0.635736:0.217358:0.620673:0.153348:0.620673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a t:@0.153348:0.658813:0.172081:0.658813:0.172081:0.643776:0.153348:0.643776:0.000000:0.000000:0.000000
( ) =        ( ( )):@0.161510:0.658707:0.254842:0.658707:0.254842:0.643644:0.161510:0.643644:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v t:@0.226399:0.658813:0.244042:0.658813:0.244042:0.643776:0.226399:0.643776:0.000000:0.000000:0.000000
       =                =        .:@0.153348:0.690589:0.294385:0.690589:0.294385:0.675526:0.153348:0.675526:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dp:@0.188055:0.535133:0.204818:0.535133:0.204818:0.520096:0.188055:0.520096:0.000000:0.000000
dx:@0.188917:0.551477:0.203974:0.551477:0.203974:0.536440:0.188917:0.536440:0.000000:0.000000
dp:@0.196128:0.566852:0.212891:0.566852:0.212891:0.551816:0.196128:0.551816:0.000000:0.000000
dt:@0.197781:0.583196:0.211238:0.583196:0.211238:0.568159:0.197781:0.568159:0.000000:0.000000
d:@0.201747:0.651676:0.210119:0.651676:0.210119:0.636639:0.201747:0.636639:0.000000
dt:@0.199196:0.668020:0.212652:0.668020:0.212652:0.652983:0.199196:0.652983:0.000000:0.000000
d dp:@0.201154:0.683395:0.241977:0.683395:0.241977:0.668359:0.201154:0.668359:0.000000:0.000000:0.000000:0.000000
dt dt:@0.198603:0.699739:0.240323:0.699739:0.240323:0.684702:0.198603:0.684702:0.000000:0.000000:0.000000:0.000000:0.000000
d p:@0.195612:0.598571:0.216969:0.598571:0.216969:0.583535:0.195612:0.583535:0.000000:0.000000:0.000000
2:@0.203985:0.592667:0.208507:0.592667:0.208507:0.583885:0.203985:0.583885:0.000000
dt:@0.197303:0.614915:0.210759:0.614915:0.210759:0.599878:0.197303:0.599878:0.000000:0.000000
2:@0.210756:0.609011:0.215279:0.609011:0.215279:0.600230:0.210756:0.600230:0.000000
d p:@0.267079:0.683395:0.288436:0.683395:0.288436:0.668359:0.267079:0.668359:0.000000:0.000000:0.000000
2:@0.275452:0.677490:0.279975:0.677490:0.279975:0.668709:0.275452:0.668709:0.000000
dt:@0.268770:0.699739:0.282227:0.699739:0.282227:0.684702:0.268770:0.684702:0.000000:0.000000
2:@0.282225:0.693835:0.286748:0.693835:0.286748:0.685054:0.282225:0.685054:0.000000
Competencia :@0.200180:0.338352:0.297803:0.338352:0.297803:0.322879:0.200180:0.322879:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.200180:0.350920:0.284243:0.350920:0.284243:0.335447:0.200180:0.335447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Sin la matemática es imposible el desarrollo :@0.153632:0.890585:0.370111:0.890585:0.370111:0.879109:0.153632:0.879109:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la cinemática.:@0.143849:0.902655:0.226256:0.902655:0.226256:0.891179:0.143849:0.891179:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pixabay.com:@0.136586:0.873047:0.136586:0.838678:0.125118:0.838678:0.125118:0.873047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000