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 3

Use Newton method iterations - graph-supported reasoning

Use one Newton iteration for \(f(x)=x^{2}-5\) from \(x_0=2.5\). Find \(x_1\). Enter the requested value and choose the interpretation that matches the result.

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