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1.10 G: Differentiation

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Question 183

A curve C C\,C is defined by the function

y=15+12x−12x2−13x3 y = 15 + 12x - \frac{1}{2}x^2 - \frac{1}{3}x^3 y=15+12x−21​x2−31​x3
a.

Using calculus, determine the xxx-coordinates of the stationary points of CCC.

[4]
b.

Justify, by using the second derivative, the nature of each of these stationary points.

[3]
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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