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 4

Analyse points of inflection - visual sign check

For \(f(x)=2x^{3}-4x^{2}+2x\), 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.