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3.6 Differentiation (A-level only)

3.6 Differentiation (A-level only)

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Question 14

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

3.6 Differentiation (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.6 Differentiation (A-level only)

333 exam-style questions on WJEC A Level Maths 3.6 Differentiation (A-level only), covering 3.6.1 Differentiation (A-level only), 3.6.2 Differentiation (A-level only), 3.6.3 Differentiation (A-level only), 3.6.4 Differentiation (A-level only), 3.6.5 Differentiation (A-level only), 3.6.6 Differentiation (A-level only), 3.6.7 Differentiation (A-level only), and 3.6 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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