IB Maths AI HL SL 5.7 Optimization
IB Maths AI HL SL 5.7 Optimization
Students practise applying calculus to real-world problems where a quantity must be maximised or minimised under constraints.
How this is tested
- substitute constraint into surface area formula, differentiate, and solve dA/dw=0
- interpret minimum point of profit model as optimal time to buy shares, reading t-coordinate from graph
- recognise that hemisphere minimises surface area for given volume — deduced from optimisation result r=h