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3.6 Differentiation (A-level only)

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Question 29

A curve C C\,C has the equation

xy2+x2y=10xy^2 + x^2y = 10xy2+x2y=10

a.

Prove that C C\,C does not intersect the coordinate axes.

[2]
b.

Show that

dydx=−y(2x+y)x(x+2y)\displaystyle \frac{dy}{dx} = -\frac{y(2x + y)}{x(x + 2y)}dxdy​=−x(x+2y)y(2x+y)​

[4]
c.

Find the exact coordinates of the stationary point of CCC.

[2]
Markscheme

3.6 Differentiation (A-level only) Questions

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

332 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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