IB skill practice

Use second derivative and concavity

Use second derivative information to identify concavity or acceleration.

Paper 1, Paper 2 5 marks Difficulty 4

Use second derivative and concavity - context check

A community program model has \(f(x)=0.8x^{2}+3x+1\). Find \(f^{\prime\prime}(x)\) and use it to identify the concavity indicator. 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.