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1.6 Differentiation

1.6 Differentiation

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Question 56

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

1.6 Differentiation Questions

  1. A Level
  2. /Maths
  3. /1.6 Differentiation

115 exam-style questions on CCEA A Level Maths 1.6 Differentiation, covering 1.6.1 Differentiation, 1.6.2 Differentiation, 1.6.3 Differentiation, 1.6.4 Differentiation, 1.6.5 Differentiation, 1.6.6 Differentiation, and 1.6.7 Differentiation. Each one has a worked solution and a mark scheme showing where the marks go.

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