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1.12 I: Numerical methods (A-level only)

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Question 1
19%

f(x)=x5+3x2+x−10f(x) = x^5 + 3x^2 + x - 10f(x)=x5+3x2+x−10

a.

Find f′(x)f'(x)f′(x)

[2]
b.

The root of f(x)=0f(x) = 0f(x)=0 lies in the interval [1,1.5][1, 1.5][1,1.5].

Use the Newton-Raphson method, starting with x0=1.25x_0 = 1.25x0​=1.25, to find the root of f(x)=0f(x) = 0f(x)=0 to 3 decimal places.

[5]

1.12 I: Numerical methods (A-level only) Questions

  1. A Level
  2. /Maths
  3. /1.12 I: Numerical methods (A-level only)

Practise AQA A Level Maths 1.12 I: Numerical methods (A-level only) with exam-style questions for A Level Maths. 107 questions covering 1.12.1 Locating roots by change of sign (A-level only), 1.12.2 Iterative methods and Newton-Raphson (A-level only), 1.12.3 Numerical integration (A-level only), and 1.12.4 Numerical methods in context (A-level only), matched to the AQA A Level Maths (7357) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank