IB skill practice

Use Newton method interpretation

Apply and interpret Newton method iterations and convergence behaviour.

Paper 1, Paper 2 5 marks Difficulty 4

Use Newton method interpretation - visual endpoint link

Using \(x_{n+1}=x_n-\frac{f(x_n)}{f'(x_n)}\), with \(x_n=-1\), \(f(x_n)=2\), and \(f'(x_n)=2\), enter \(x_{n+1}\).

Worked practice: result and interpretation

Calculate the requested result first, then choose the interpretation that follows from it.