Given that $y={{\left( \cos x \right)}^{\ln x}}$, find an expression of \(\frac{\mathrm{d}y}{

Question

Given that $y={{\left( \cos x \right)}^{\ln x}}$, find an expression of $\frac{\mathrm{d}y}{\mathrm{d}x}$.

Accepted Answer

${{(\cos x)}^{\ln x}}\left( \frac{\ln (\cos x)}{x}-	an x\ln x ight)$

Differentiation - Logarithmic Differentiation