The curve C has the equation $\ln x$ , $x > 0$

Find $dydx\displaystyle \frac{dy}{dx}$

C has a stationary point at P. Show that the $x\,$ coordinate of P lies between 2.5 and 3

Show that the $x\,$ coordinate of P is a solution of $x=61+ln⁡x\displaystyle x = \frac{6}{1 + \ln x}$

Use the iteration formula $xn+1=61+ln⁡xn\displaystyle x_{n+1} = \frac{6}{1 + \ln x_n}$ with $x_0 = 2.75$ to find, to 3 decimal places, the values of $x_1$ , $x_2\,$ and $x_3$ .

The curve C has the equation $\ln x$ , $x > 0$

Find $dydx\displaystyle \frac{dy}{dx}$

C has a stationary point at P. Show that the $x\,$ coordinate of P lies between 2.5 and 3

Show that the $x\,$ coordinate of P is a solution of $x=61+ln⁡x\displaystyle x = \frac{6}{1 + \ln x}$

Use the iteration formula $xn+1=61+ln⁡xn\displaystyle x_{n+1} = \frac{6}{1 + \ln x_n}$ with $x_0 = 2.75$ to find, to 3 decimal places, the values of $x_1$ , $x_2\,$ and $x_3$ .

Numerical Methods

Question 81

Markscheme

Numerical Methods

Question 81

Markscheme

Numerical Methods

Question 81

Numerical Methods Questions

Numerical Methods

Question 81

Numerical Methods Questions