f(x)=sin(2x)+2ln(x)x>0f(x) = \sin(2x) + 2\ln(x) \quad x > 0f(x)=sin(2x)+2ln(x)x>0
Show that y=f(x)y = f(x)y=f(x) has a stationary point in the interval [1.2,1.3][1.2, 1.3][1.2,1.3]
Starting with x0=1.25x_0 = 1.25x0=1.25, apply the Newton-Raphson procedure twice to find an approximation for the x x\,x coordinate of the stationary point in the interval [1.2,1.3][1.2, 1.3][1.2,1.3]. Give your answer correct 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.