IB skill practice

Analyse points of inflection

Use second derivatives and sign changes to identify and interpret inflection points.

Paper 1, Paper 2 5 marks Difficulty 5

Analyse points of inflection - visual curve feature

For \(f(x)=1x^{3}-4x^{2}+3x\), use the marked concavity feature to find the requested value.

Worked practice: result and interpretation

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