10.3 The Newton-Raphson Method
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h(x)=2x4+x2+3x−20h(x) = 2x^4 + x^2 + 3x - 20h(x)=2x4+x2+3x−20

a.

Find h′(x)h'(x)h′(x)

[2]
b.

The root of h(x)=0h(x) = 0h(x)=0 lies in the interval [1.4,1.8][1.4, 1.8][1.4,1.8].

Use the Newton-Raphson method, starting with x0=1.6x_0 = 1.6x0​=1.6, to find the root of h(x)=0h(x) = 0h(x)=0 to 3 decimal places.

[5]

10.3 The Newton-Raphson Method Questions

Practise Edexcel A Level Maths 10.3 The Newton-Raphson Method with exam-style questions for A Level Maths. 23 questions, matched to the Edexcel A Level Maths (9MA0) 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.

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10.3 The Newton-Raphson Method Questions

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