TMUA 2016 Paper 1 Q15 — Worked Solution

P1·Differentiation, Algebra & Surds·6.5Official · 2016 · Q15

parameter-optimisationgradient-at-a-pointcompleting-the-square

The least possible value of the gradient of the curve

y = (2 x + a) (x - 2 a)^{2}

at the point where

x = 1

, as

a

varies, is

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