What is the derivative of $f (x) = {cos}^{5} (x)$ $f( x) = cos^5 ( x)$ ?

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Answer 1 · 2016-07-21T14:56:59

$f' (x)=-5*sin x* cos^4 x$

We start from the given

$f(x) =cos^5 x$

$f' (x)=5*cos^(5-1) x* d/dx(cos x)$

$f' (x)=5*cos^4 x*(- sin x)$

$f' (x)=-5*sin x* cos^4 x$

God bless....I hope the explanation is useful.

What is the derivative of f( x) = cos^5 ( x) f(x)=cos5(x)f( x) = cos^5 ( x) ?