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3.5.4 Differentiation (A-level only)

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Question 1

A curve has the equation x2+xy+2y2=14x^2 + xy + 2y^2 = 14x2+xy+2y2=14

The gradient of the tangent to the curve is −13\displaystyle -\frac{1}{3}−31​ at the points A A\,A and BBB.

a.

Show that 5x−y=05x - y = 05x−y=0 at A A\,A and BBB.

[6]
b.

Find the coordinates of A A\,A and BBB.

[3]
Markscheme

3.5.4 Differentiation (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.5.4 Differentiation (A-level only)

82 exam-style questions on CCEA A Level Maths 3.5.4 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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