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1.10 G: Differentiation

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Question 210

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]

1.10 G: Differentiation Questions

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

Practise AQA A Level Maths 1.10 G: Differentiation with exam-style questions for A Level Maths. 321 questions 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), matched to the AQA A Level Maths (7357) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank