g(x)=x5+2x2+x−8g(x) = x^5 + 2x^2 + x - 8g(x)=x5+2x2+x−8
Find g′(x)g'(x)g′(x)
The root of g(x)=0g(x) = 0g(x)=0 lies in the interval [1.0,1.5][1.0, 1.5][1.0,1.5].
Use the Newton-Raphson method, starting with x0=1.3x_0 = 1.3x0=1.3, to find the root of g(x)=0g(x) = 0g(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.
