Question: Find the derivative of the following functions

(a) \(y=3{{x}^{5}}+7{{x}^{4}}-10{{x}^{3}}-14{{x}^{2}}+3x+20\)

(b) \(y={{\left( 9{{x}^{3}}+5{{x}^{2}}-7x-13 \right)}^{4}}\)

(c) \(y=\frac{\cos \left( 4x \right)}{{{x}^{2}}+1}\)

(d) \(y={{\tan }^{2}}\left( \cos \left( 2x \right) \right)\)

(e) \(y={{\left( \sec x \right)}^{5}}\)

(f) \(y=\sin \left( {{x}^{3}} \right)\left( \sqrt[5]{3{{x}^{5}}-1} \right)\)

(g) \(y=\sqrt{x+\sqrt{x+\sqrt{x+5}}}\)

(h) \(y=\sin \left( \sin \left( \sin {{x}^{2}} \right) \right)\)

(i) \(y=|{{x}^{2}}-9|\)

(j) \(y=[x]\)

(k) \(y={{x}^{6}}-5{{x}^{2}}{{y}^{3}}+{{y}^{6}}+1\)