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Official 2017 Paper 2 · Q1

Paper 2Algebra

Given that y=(1−3x)22x3/2y=\dfrac{(1-3x)^2}{2x^{3/2}}, which one of the following is a correct expression for dydx\dfrac{\dd y}{\dd x}?

A94x−1/2+32x−3/2−34x−5/2\frac94x^{-1/2}+\frac32x^{-3/2}-\frac34x^{-5/2}
B94x−1/2−32x−3/2+34x−5/2\frac94x^{-1/2}-\frac32x^{-3/2}+\frac34x^{-5/2}
C94x−1/2−32x−3/2−34x−5/2\frac94x^{-1/2}-\frac32x^{-3/2}-\frac34x^{-5/2}
D−94x−1/2+32x−3/2+34x−5/2-\frac94x^{-1/2}+\frac32x^{-3/2}+\frac34x^{-5/2}
E−94x−1/2+32x−3/2−34x−5/2-\frac94x^{-1/2}+\frac32x^{-3/2}-\frac34x^{-5/2}
F−94x−1/2−32x−3/2−34x−5/2-\frac94x^{-1/2}-\frac32x^{-3/2}-\frac34x^{-5/2}

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