Question

Производную функции
F (x)=cos^7x^5

Answer 1

$f(x)=cos^7x^5\\f'(x)=7cos^6(x^5)*(cos(x^5))'=7cos^6(x^5)*(-sin(x^5))*(x^5)'=\\=-7cos^6(x^5)sin(x^5)*5x^4=boxed{-35x^4cos^6(x^5)sin(x^5)}$