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1.10 G: Differentiation

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Question 53

A curve has equation y=x3+3x2−24xy = x^3 + 3x^2 - 24xy=x3+3x2−24x

a.

Sketch the gradient function of the curve.

[5]
b.

Determine the set of values of x x\,x for which x3+3x2−24xx^3 + 3x^2 - 24xx3+3x2−24x is increasing.

[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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