The curve C C\,C has the equation y=(10−x)lnxx>0y = (10 - x) \ln x \quad x > 0y=(10−x)lnxx>0. The curve C C\,C has a stationary point at PPP.
Show that the x x\,x coordinate of P P\,P is a solution of x=101+lnx\displaystyle x = \frac{10}{1 + \ln x}x=1+lnx10
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.