Differentiate ${\cot }^{2}x$ with respect to $x$.

Differentiate ${\tan }^{3}x$ with respect to $x$.

Differentiate the function $\tan \sqrt{x}$ with respect to $x$.

Differentiate the function $e^{x^4}$ with respect to $x$.

Differentiate $e^{\cot x}$ with respect to $x$.

Differentiate $\sqrt{\sin x}$ with respect to $x$.

Differentiate ${\left(5+7x\right)}^6$ with respect to $x$.

Differentiate ${\left(3-4x\right)}^5$ with respect to $x$.

Differentiate ${\left(3x^2-x+1\right)}^4$ with respect to $x$.