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1.10 G: Differentiation

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Question 52

The curve C C\,C has equation y=g(x)y = g(x)y=g(x), where g(x)g(x)g(x) is a cubic expression.

It is given that

the coefficient of x3 x^3\,x3 in g(x)g(x)g(x) is 1

C C\,C passes through the origin

C C\,C has a stationary point at (2,−4)(2, -4)(2,−4)

a.

Find g(x)g(x)g(x).

[5]
b.

Prove that the stationary point at (2,−4)(2, -4)(2,−4) is a minimum.

[2]
Markscheme

1.10 G: Differentiation Questions

  1. A Level
  2. /Maths
  3. /1.10 G: Differentiation

375 exam-style questions on AQA A Level Maths 1.10 G: Differentiation, covering 1.10.1 The derivative and second derivative, 1.10.2 Differentiating standard functions, 1.10.3 Applications of differentiation, 1.10.4 Product, quotient and chain rules (A-level only), 1.10.5 Implicit and parametric differentiation (A-level only), and 1.10.6 Constructing differential equations (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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