Find the derivative using logarithmic differentiation method $\frac{d}{dx}\left(\tan\left(9x\right)^{\frac{6}{x}}\right)$

Find the derivative

$\frac{d}{dx}\left(x^{\frac{7}{x}}\right)$

Find the derivative

$\frac{d}{dx}x^{cosx}$

Find the derivative

$\frac{d}{dx}\left(x^{5\sin\left(x\right)}\right)$

Find the derivative

$\frac{d}{dx}\left(\left(sinx\right)^{cosx}\right)$

Find the derivative

$\frac{d}{dx}\left(cosx^{sinx}\right)$

Find the derivative

$\frac{d}{dx}\left(x^{\cot\left(x\right)}\right)$

Find the derivative

$\frac{d}{dx}\left(x^{\frac{2}{x}}\right)$