Find the derivative using logarithmic differentiation method $\frac{d}{dx}\left(\ln\left(\frac{x\sqrt{x^2+1}}{\sqrt[3]{\left(x+9\right)^{2}}}\right)\right)$

Find the derivative

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

Find the derivative

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

Find the derivative

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

Find the derivative

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

Find the derivative

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

Find the derivative

$\frac{d}{dx}\left(1+\frac{1}{x}\right)^x$

Find the derivative

$\frac{d}{dx}\left(1+\frac{7}{x}\right)^x$