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1.12 I: Numerical methods (A-level only)

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Question 2

It is given that

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 equation f(x)=0f(x) = 0f(x)=0 has a root in the interval [1,1.5][1, 1.5][1,1.5]. Using x0=1.25x_0 = 1.25x0​=1.25, apply the Newton-Raphson procedure once to find a second approximation to this root. Give your answer to three decimal places.

[2]
Markscheme

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

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

125 exam-style questions on AQA A Level Maths 1.12 I: Numerical methods (A-level only), 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). Each one has a worked solution and a mark scheme showing where the marks go.

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