Question: Find \(y'\) when:

(a) \(y=4{{x}^{5}}-{{x}^{2}}+2{{x}^{3/2}}\)

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

(c) \(y=\frac{2{{x}^{2}}-5x}{{{x}^{3}}+2}\)

(d) \(y={{\left( \frac{x}{{{x}^{2}}-1} \right)}^{5}}\)

(e) \(y={{x}^{2}}\sqrt{5x-1}\)

(f) \(y=\frac{{{x}^{3}}-\sqrt{x}}{{{\left( x+3 \right)}^{4}}}\)