Find the derivative of $\tan\left(x+1\right)$

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

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

$\frac{d}{dx}\left(\ln\left(\sech\left(3x+8\right)\right)\right)$

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

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

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

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