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Official 2016 Paper 2 · Q2

Paper 2Algebra
f(x)=(x2+5)(2x)x34,x>0f(x)=\frac{(x^2+5)(2x)}{\sqrt[4]{x^3}},\qquad x>0

Which one of the following is equal to f′(x)f'(x)?

A8x9/4+403x1/48x^{9/4}+\dfrac{40}{3}x^{1/4}
B92x5/4+52x−3/4\dfrac{9}{2}x^{5/4}+\dfrac{5}{2}x^{-3/4}
C8x9/4+403x−1/48x^{9/4}+\dfrac{40}{3}x^{-1/4}
D813x13/4+8x5/4\dfrac{8}{13}x^{13/4}+8x^{5/4}

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