f(x)=sin(x)+ln(x)x>0f(x) = \sin(x) + \ln(x) \quad x > 0f(x)=sin(x)+ln(x)x>0
Show that y=f(x)y = f(x)y=f(x) has a stationary point in the interval [2,2.1][2, 2.1][2,2.1]
Starting with x0=2.05x_0 = 2.05x0=2.05, apply the Newton-Raphson procedure twice to find an approximation for the x x\,x coordinate of the stationary point in the interval [2,2.1][2, 2.1][2,2.1].
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.