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3.8.3 Numerical Methods (A-level only)

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Question 4

f(x)=x4+3x2+2x−15f(x) = x^4 + 3x^2 + 2x - 15f(x)=x4+3x2+2x−15

a.

Find f′(x)f'(x)f′(x)

[2]
b.

The root of f(x)=0f(x) = 0f(x)=0 lies in the interval [1.2,1.7][1.2, 1.7][1.2,1.7].

Use the Newton-Raphson method, starting with x0=1.7x_0 = 1.7x0​=1.7, to find the root of f(x)=0f(x) = 0f(x)=0 to 3 decimal places.

[5]

3.8.3 Numerical Methods (A-level only) Questions

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