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1.10 G: Differentiation

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Question 30

A curve has the equation 3x2+xy+y2=203x^2 + xy + y^2 = 203x2+xy+y2=20

The gradient of the tangent to the curve is 43\displaystyle \frac{4}{3}34​ at the points P P\,P and QQQ.

a.

Show that 2x+y=02x + y = 02x+y=0 at P P\,P and QQQ.

[6]
b.

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

[3]
Markscheme

1.10 G: Differentiation Questions

  1. A Level
  2. /Maths
  3. /1.10 G: Differentiation

375 exam-style questions on AQA A Level Maths 1.10 G: Differentiation, covering 1.10.1 The derivative and second derivative, 1.10.2 Differentiating standard functions, 1.10.3 Applications of differentiation, 1.10.4 Product, quotient and chain rules (A-level only), 1.10.5 Implicit and parametric differentiation (A-level only), and 1.10.6 Constructing differential equations (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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