IB skill practice

Solve optimization problems

Model and solve maximum or minimum problems using derivatives and clear interpretation.

Paper 1, Paper 2 5 marks Difficulty 5

Open interval quadratic optimum

For \(A(x)=-4x^{2}+32x+5\), find the input that gives the maximum value.

Worked practice: result and interpretation

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