Find derivatives of the following functions from definition.

$2+x+\sqrt{x^3}$

Find derivatives of the following functions from definition.

$x-\sqrt{x^2-1}$

Find derivatives of the following functions from definition.

$\frac{1}{x^{\frac{2}{5}}}+1$

Find derivatives of the following functions from definition.

$\cos \left(ax+b\right)$

Find derivatives of the following functions from definition.

$x^2\sin x$

Find derivatives of the following functions from definition.

$\sqrt{\tan x}$

Find derivatives of the following functions from definition.

$\cot x^2$

Find derivatives of the following functions from definition.

$\mathrm{cosec}3x$

Find derivatives of the following functions from definition.

$\sqrt{x}\sin x$