Worked examples

Derivatives, marginal functions and elasticity

One sheet for each type of problem, with several worked examples of increasing difficulty: first the computation, then the explanation in words. Each sheet starts with links to the theory it uses.

• 1Derivatives from the definition and tangent lines
• 2Derivatives of products and quotients
• 3Derivatives of composite functions
• 4Marginal costs, revenues and profits
• 5Elasticity of demand
• 6Rolle's and Lagrange's theorems and monotonicity
• 7Limits with de l'Hôpital's rule
• 8Linear approximations and the differential