10.3 The Newton-Raphson Method
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k(x)=2ln⁡(x+1)+x2−8x>−1k(x) = 2\ln(x + 1) + x^2 - 8 \quad x > -1k(x)=2ln(x+1)+x2−8x>−1

a.

Show that k(x)=0k(x) = 0k(x)=0 has a root in the interval [2.3,2.4][2.3, 2.4][2.3,2.4]

[2]
b.

Find k′(x)k'(x)k′(x)

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c.

Using x0=2.3x_0 = 2.3x0​=2.3 as a first approximation, apply the Newton-Raphson procedure to find a second approximation, giving your answer to 3 decimal places.

[3]

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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