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Differentiation

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Question 444

A curve, CCC, has the equation xy2+x2y=10xy^2 + x^2y = 10xy2+x2y=10

a.

Prove that the curve 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)​

[5]
c.

Find the exact coordinates of the stationary point.

[5]
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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