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

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Answer 1 · 2015-11-24T03:37:56

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

$f'(x)=sec^2(cos(x))d/dx[cos(x)]$

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

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