Question: In each case below identify the rules of differentiation you would apply to obtain the indicated derivative

1. \(\frac{d}{dx}\sec \left( {{x}^{2}}-4 \right)\)
2. \(\frac{{{d}^{3}}}{d{{x}^{3}}}\tan x\)
3. \(\frac{d}{dx}\left( \frac{x\sin x+{{x}^{2}}}{{{x}^{2}}+1} \right)\)
4. \(f''\left( x \right)\) if \(f\left( x \right)=\sec \left( 4x \right)\)

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