What is the derivative of $f (x) = x cos (cos x))$ $f(x)=xcos(cosx))$ ?

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Answer 1 · 2018-06-28T12:19:44

$f'(x)=cos(cosx)+xsin(cosx)sinx$

$f(x)=xcos(cosx)$

$f'(x)=(xcos(cosx))'=cos(cosx)-xsin(cosx)(cosx)'=cos(cosx)+xsin(cosx)sinx$

What is the derivative of f(x)=xcos(cosx))f(x)=xcos(cosx)) f(x)=xcos(cosx))?