Question

Найти производную функции:
y=(1+sin^2x)^4

Answer 1

$y'=((1+sin^2x)^4)'=4(1+sin^2x)^3*(1+sin^2x)'=4*(1+sin^2x)^3*\*sin2x=4*(1+sin^2x)^3*2*sinx*cosx=8(1+sin^2)^3*sinx*cosx$

Answer 2

*sin^2x