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3.6 Differentiation (A-level only)

3.6 Differentiation (A-level only)

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Question 40

A curve has the equation x2−xy+y2=12x^2 - xy + y^2 = 12x2−xy+y2=12

The gradient of the tangent to the curve is 1 at the points P P\,P and QQQ.

a.

Show that x+y=0x + y = 0x+y=0 at P P\,P and QQQ.

[6]
b.

Find the coordinates of P P\,P and QQQ.

[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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