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

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Answer 1 · 2015-10-29T21:22:05

$- sin x \cdot e^{cos x} - e^{x} \cdot sin (e^{x})$ $-sinx*e^(cosx)-e^x*sin(e^x)$

$\frac{d}{d x} [e^{cos x} + cos (e^{x})] = - sin x \cdot e^{cos x} - e^{x} \cdot sin (e^{x})$ $d/dx[e^(cosx)+cos(e^x)]=-sinx*e^(cosx)-e^x*sin(e^x)$

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