Question

6(sen(2t))^3 ... la derivada

Answer 1

d/dt 6(Sen(2t))³
Sacar la constante
6 d/dt (sin³(2t))
Regla de la cadena
sea: u=sin(2t)
6 d/du (u³)d/dt(sin(2t))
d/du(u³)=3u³
d/dt(sin(2t))=cos(2t)2
=6·3u²cos(2t)2
sustituir u=sin(2t)
6·3sin²(2t)cos(2t)2
Simplificar
36sin²(2t)cos(2t)