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3.6 Differentiation (A-level only)

3.6 Differentiation (A-level only)

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Question 166

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

3.6 Differentiation (A-level only) Questions

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

333 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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