How do you find the derivative of ${cos}^{2} (x^{3})$ $cos^2(x^3)$ ?

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Answer 1 · 2015-08-28T19:18:52

$f'(x)=-6x^(2).cos(x^(3)).sin(x^(3))$

$f(x)=cos^2(x^3)$

Apply the chain rule:

$f'(x)=-2cos(x^3).sin(x^3).3x^2$

$f'(x)=-6x^(2).cos(x^3).sin(x^3)$

How do you find the derivative of cos^2(x^3)cos2(x3)cos^2(x^3)?