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Differentiation

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Question 514

The path of a particle in a non-uniform magnetic field is modelled by a curve with equation

(x−2y)2=4x+11y+12 (x - 2y)^2 = 4x + 11y + 12 (x−2y)2=4x+11y+12

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

a.

Show that the gradient of the curve at PPP is 835\frac{8}{35}358​.

[5]
b.

Find the equation of 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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