TMUA 2019 Paper 1 Q7 — Worked Solution

P1·Differentiation·6.0Official · 2019 · Q7

product-expansiongradientminimise-over-parameter

A curve has equation

y = (2 q - x^{2}) (2 q x + 3) .

The gradient of the curve at

x = - 1

is a function of

q

. Find the value of

q

which minimises the gradient of the curve at

x = - 1

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