Find the derivative of $\ln\left(\left(2x+1\right)^5\left(x^4-3\right)^6\right)$

Find the derivative

$\frac{d}{dx}\left(x^{-1\cdot \frac{3}{2}}\right)$

Find the derivative

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

Find the derivative

$\frac{d}{dx}\sqrt{x}$

Find the derivative

$\frac{d}{dy}\left(y^{\left(-1\right)\cdot\frac{1}{2}}\right)$

Find the derivative

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

Find the derivative

$\frac{d}{dx}\left(x^{\frac{1}{4}}\right)$

Compute the integral

$\int x\cdot\cos\left(x\right)dx$