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Official 2019 Paper 1 · Q7

Paper 1CalculusFunctions & graphsAlgebra

A curve has equation

y=(2q−x2)(2qx+3)y=(2q-x^2)(2qx+3)

The gradient of the curve at x=−1x=-1 is a function of qq.

Find the value of qq which minimises the gradient of the curve at x=−1x=-1.

A−1-1
B−34-\frac34
C−12-\frac12
D00
E12\frac12
F34\frac34
G11

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