A-level Maths · Numerical methods

Newton-Raphson: one step

Apply x₁ = x₀ − f(x₀)/f′(x₀) once to a cubic, to 4 decimal places.

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Question 1

Given that f(x)=x3+4x−35f(x) = x^{3} + 4x - 35, use the Newton-Raphson method with x0=2.8x_{0} = 2.8 to find x1x_{1}. Give your answer to 4 decimal places.

You can type 4.53, 3.2e-5, 3.2 × 10^-5 or 7/3.

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