Find the derivative $\frac{d}{dx}\left(x\cos\left(x\right)+\sin\left(x\right)\right)$ using the sum rule

Find the derivative

$\frac{d}{dx}\left(x\sinh x-\cosh x\right)$

$\frac{d}{dx}\left(\mathrm{sech}\left(-4x\right)\left(1-\ln\left(\mathrm{sech}\left(-4x\right)\right)\right)\right)$

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

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

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

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

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