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Differentiation

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Question 602

A particle moves in a 2D plane such that its position is constrained by the curve with equation

2(x−2y)2=5x+3y+12 2(x - 2y)^2 = 5x + 3y + 12 2(x−2y)2=5x+3y+12

The curve intersects the positive xxx-axis at the point PPP.

a.

Show that the gradient of the curve at PPP is 1135\frac{11}{35}3511​.

[4]
b.

Find an equation for the normal to the curve at PPP, giving your answer in the form ax+by=cax + by = cax+by=c, where aaa, bbb and ccc are integers.

[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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