Differentiation - optimisation

Optimisation problems involve finding an appropriate function of a single variable.

Maximum area of a rectangle drawn inside a right angled triangle - interactive example with solution from Maths Online.

Maximum area of a rectangle with a known perimeter - interactive activity from Exploremath.

Minimum perimeter of a rectangle with a known area - interactive activity from Exploremath.

Demos for Optimisation Problems - David Hill

Worked examples - CalculusQuest.

Worked examples - Calculus on the Web - Calculus Book 1 - Applications of the Derivative - Optimisation.

Interactive worked examples - Visual Calculus - Applications of Differentiation - Optimisation.