Differentiate the following w.r.t. $x: \large \frac {\cos x}{\log x}$,$\; x > 0$

Question

$\begin{array}{1 1} - \large \frac{x\; \sin x \log x + \cos x}{x\;(\log x)^2} \\ \large \frac{x\; \sin x \log x + \cos x}{x\;(\log x)^2} \\ - \large \frac{x\; \sin x \log x - \cos x}{x\;\log x} \\ - \large \frac{x\; \sin x \log x + \cos x}{x\;\log x}\end{array}$