Question: Q1: Determine the derivatives of:

a) \[\frac{d}{dx}\left( {{e}^{-4x}}\sin 7x \right)\]

b) \[\frac{d}{dx}\left( \frac{\ln (x+1)}{\cos 3x} \right)\]

c) \[\frac{d}{dx}\left( 10{{\sin }^{3}}5x \right)\]