f(x)=x2+x−2f(x) = x^2 + x - 2f(x)=x2+x−2
Find f′(x)f'(x)f′(x)
The root of f(x)=0f(x) = 0f(x)=0 lies in the interval [0.5,1][0.5, 1][0.5,1].
Use the Newton-Raphson method, starting with x0=0.75x_0 = 0.75x0=0.75, to find the root of f(x)=0f(x) = 0f(x)=0 to 3 decimal places.
329 exam-style questions on Edexcel A Level Maths Numerical Methods, covering 10.1 Locating Roots, 10.2 Iteration, 10.3 The Newton-Raphson Method, and 10.4 Applications to Modelling. Each one has a worked solution and a mark scheme showing where the marks go.