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1.9.4 Newton-Raphson method (A-level only)

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Question 1
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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]

1.9.4 Newton-Raphson method (A-level only) Questions

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