f(x)=sin(2x)+ln(x)x>0f(x) = \sin(2x) + \ln(x) \quad x > 0f(x)=sin(2x)+ln(x)x>0
Show that y=f(x)y = f(x)y=f(x) has a stationary point in the interval [1,1.1][1, 1.1][1,1.1]
Starting with x0=1.05x_0 = 1.05x0=1.05, apply the Newton-Raphson procedure twice to find an approximation for the x x\,x coordinate of the stationary point in the interval [1,1.1][1, 1.1][1,1.1].
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.