Derivative of sin(x)(cos(x)^2)

Derivative of sin(x)(cos(x)^2). Simple step by step solution, to learn. Simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

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Derivative of sin(x)(cos(x)^2): 


(sin(x)*(cos(x))^2)'

(sin(x))'*(cos(x))^2+sin(x)*((cos(x))^2)'

cos(x)*(cos(x))^2+sin(x)*((cos(x))^2)'

cos(x)*(cos(x))^2+sin(x)*2*(cos(x))^(2-1)*(cos(x))'

cos(x)*(cos(x))^2+sin(x)*2*(cos(x))^(2-1)*(-sin(x))

cos(x)*(cos(x))^2+sin(x)*-2*cos(x)*sin(x)

(cos(x))^3-(2*cos(x)*(sin(x))^2)

The calculation above is a derivative of the function f (x)

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