Question

qual a derivada de g(x))〖(5x^3+2x)〗^10??

Answer 1

Regra da cadeia:

$\boxed{h(x) = f(g(x))'*g(x)'}$

Então, temos que:

$g(x)=(5x^3+2x)^{10}\\\\ g(x)'=10(5x^3+2x)^9*(5*3x^2+2)\\\\ \boxed{g(x)'=10(5x^3+2x)^9*(15x^2+2)}$