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1.10 G: Differentiation

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Question 13

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

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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