What is the derivative of $e^{cos x} + cos (e^{x})$ $e^cosx + cos(e^x)$ ?

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Answer 1 · 2015-10-31T21:26:20

$f' = -e^(cosx)sinx-e^xsine^x$

$f'=(e^(cosx)+cose^x)' = e^(cosx)(-sinx)-sine^x* e^x$

$f' = -e^(cosx)sinx-e^xsine^x$

What is the derivative of e^cosx + cos(e^x)ecosx+cos(ex) e^cosx + cos(e^x)?