Find the derivative using logarithmic differentiation method $\frac{d}{dx}\left(\sin\left(2x\right)^{9x}\right)$

Find the derivative

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

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

$\frac{d}{dx}\left(tan^{9-7x}\left(x\right)\right)$

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

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