The curve C C\,C with the equation y=exy = e^xy=ex meets the line L L\,L with equation y=x+1y = x + 1y=x+1 at the point PPP.
Show that the x x\,x coordinate of P P\,P satisfies x=ln(x+1)x = \ln(x + 1)x=ln(x+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.