recognise that 𝑒 is the unique number 𝑎 for which the limit (in 3.2.1.1) is 1
3.2.1.5
identify contexts suitable for mathematical modelling by exponential functions and their derivatives and use the model to solve practical problems; verify and evaluate the usefulness of the model using qualitative statements and quantitative analysis
3.2.3.3
use trigonometric functions and their derivatives to solve practical problems; including trigonometric
functions of the form 𝑦 = sin(𝑓(𝑥)) and 𝑦 = cos(𝑓(𝑥)).
4.1.1.4
understand and use the second derivative test for finding local maxima and minima
