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Differentiation

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Question 24

A curve has the equation 2x2+xy+y2=142x^2 + xy + y^2 = 142x2+xy+y2=14

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

a.

Show that 3x−y=03x - y = 03x−y=0 at P P\,P and QQQ.

[6]
b.

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

[3]
Markscheme

Differentiation Questions

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

717 exam-style questions on Edexcel A Level Maths Differentiation, covering 9.1 Differentiating sin x and cos x, 9.2 Differentiating exponentials and logarithms, 9.3 The Chain Rule, 9.4 The Product Rule, 9.5 The Quotient Rule, 9.6 Differentiating Trigonometric Functions, 9.7 Parametric Differentiation, 9.8 Implicit Differentiation, 9.9 Using Second Derivatives, and 9.10 Rates of Change. Each one has a worked solution and a mark scheme showing where the marks go.

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