IB skill practice

Use Newton method iterations

Apply one Newton iteration to approximate a root from a starting value.

Paper 1, Paper 2 5 marks Difficulty 4

Use Newton method iterations - method selection

Use one Newton iteration for \(f(x)=x^{2}-5\) from \(x_0=2.1\). Find \(x_1\). Confirm the method before entering the value. Enter the requested value and choose the interpretation that matches the result.

Worked practice: result and interpretation

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