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 Edexcel A Level Maths Numerical Methods with exam-style questions for A Level Maths. 63 questions covering 10.1 Locating Roots, 10.2 Iteration, 10.3 The Newton-Raphson Method, and 10.4 Applications to Modelling, matched to the Edexcel A Level Maths (9MA0) 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.