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1.10 G: Differentiation

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Question 148

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

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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