List of top Mathematics Questions on Chain Rule

If \( y = e^{2x} \), then find \( \dfrac{dy}{dx} \).
Find the derivative of \[ f(x)=e^{x^2} \]
\(\frac{d}{dx} \left( \cos(\pi x + \sin \pi x) \right) \)
\(\frac{d}{dx} \left[ 2\sqrt{x} \right] \)
\(\frac{d}{dx} \left[ e^{x^2} \right] \)
\(\dfrac{d}{dx}\big(2\cos \tfrac{3x}{4}\big)=\) ?

\(\dfrac{d}{dx}\big(e^{x}+\cos5x\big)=\) ?

\(\dfrac{d}{dx}\!\left(\dfrac{1}{4}\sec4x\right)=\) ?

\(\dfrac{d}{dx}\big(\sin \tfrac{4x}{5}\big)=\) ?