Mathematics: Applications and Interpretation HL
Applied calculus in economics and science
Marginal analysis, elasticity, area between rates, implicit rates, and optimisation in applied AI HL settings.
Differentiate exponential models
Use derivative rules to calculate the instantaneous rate in an exponential model.
Use marginal cost and revenue
Calculate marginal profit from marginal revenue and marginal cost.
Calculate price elasticity of demand
Use derivative information to calculate elasticity at a point.
Find area between rate curves
Integrate the difference between two rates to find net accumulated change.
Use implicit differentiation in context
Differentiate an implicit relationship to calculate a contextual rate.
Optimise rectangle models with constraints
Use a constraint to form and optimise a rectangular area model.