QUESTION: Determine the derivatives of:

1. \[\frac{d}{dx}\left( {{e}^{-4x}}\sin 7x \right)\]
2. \[\frac{d}{dx}\left( \frac{\ln (x+1)}{\cos 3x} \right)\]
3. \[\frac{d}{dx}\left( 10{{\sin }^{3}}5x \right)\]

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