Differentiate with respect to $x$:

${\left(x^2+3\right)}^5$

Differentiate with respect to $x$:

${\left(2-x^2\right)}^8$

Differentiate with respect to $x$:

${\left(x^2+4x\right)}^3$

Differentiate with respect to $x$:

${\left(x^2-\frac{5}{x}\right)}^5$

Differentiate with respect to $x$:

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

Differentiate with respect to $x$:

$\frac{3}{x-5}$

Differentiate with respect to $x$:

$\frac{8}{3-2x}$

Differentiate with respect to $x$:

$\frac{16}{x^2+2}$

Differentiate with respect to $x$:

$\frac{4}{(3x+1{)}^6}$