Differentiate the following w.r.t. $ x: $ $ cos \: ( log\: x + e^x ), x > 0 $

Question

$\begin{array}{1 1} -sin (\log x + e^x)\; (\large \frac{1}{x}+ e^x) \\sin (\log x + e^x)\; (\large \frac{1}{x}- e^x) \\ sin (\log x + e^x)\; (\large \frac{1}{x}+ e^x) \\-sin (\log x + e^x)\; (\large \frac{1}{x}- e^x) \end{array} $