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].
51 exam-style questions on AQA A Level Maths 1.12.2 Iterative methods and Newton-Raphson (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.