IB skill practice

Optimise with implicit constraints

Use implicit constraints and derivative reasoning in optimization.

Paper 1, Paper 2 5 marks Difficulty 4

Optimise with implicit constraints - visual implicit constraint optimum item

Case A10. Minimise \(x^{2}+y^{2}\) subject to \(x+y=6\). Enter the optimal \(x\)-value.

Worked practice: result and interpretation

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