Condense the logarithmic expression $3\ln\left(x^2\right)$

$\frac{d}{dx}\left(x\sqrt{x^2-1}\right)$

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

$\frac{d}{dx}\left(\sqrt{\frac{x\left(x+2\right)}{\left(2x+1\right)\left(5x+3\right)}}\right)$

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

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

$\frac{d}{dx}\left(x\sqrt{x^2+1}\right)$

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