IB skill practice

Optimise multivariable expressions

Use partial derivative reasoning or constraints to optimize two-variable expressions.

Paper 1, Paper 2 5 marks Difficulty 4

Optimise multivariable expressions - visual chain rule

Minimize \(x^{2}+y^{2}\) subject to \(x+y=10\). Enter the optimal value of \(x\).

Worked practice: result and interpretation

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