f(x)=x4+3x2+2x−15f(x) = x^4 + 3x^2 + 2x - 15f(x)=x4+3x2+2x−15
Find f′(x)f'(x)f′(x)
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.
Practise AQA A Level Maths 1.12 I: Numerical methods (A-level only) with exam-style questions for A Level Maths. 107 questions covering 1.12.1 Locating roots by change of sign (A-level only), 1.12.2 Iterative methods and Newton-Raphson (A-level only), 1.12.3 Numerical integration (A-level only), and 1.12.4 Numerical methods in context (A-level only), matched to the AQA A Level Maths (7357) 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.
