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Numerical Methods

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Question 35

f(x)=x5−131x2+300x+36f(x) = x^5 - 131x^2 + 300x + 36f(x)=x5−131x2+300x+36

a.

Find f′(x)f'(x)f′(x)

[2]
b.

The root of f(x)=0f(x) = 0f(x)=0 lies in the interval [2.5,3.5][2.5, 3.5][2.5,3.5].

Use the Newton-Raphson method, starting with x0=2x_0 = 2x0​=2, to find the root of f(x)=0f(x) = 0f(x)=0 to 3 decimal places.

[5]
Markscheme

Numerical Methods Questions

  1. A Level
  2. /Maths
  3. /Numerical Methods

329 exam-style questions on Edexcel A Level Maths Numerical Methods, covering 10.1 Locating Roots, 10.2 Iteration, 10.3 The Newton-Raphson Method, and 10.4 Applications to Modelling. Each one has a worked solution and a mark scheme showing where the marks go.

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