estimate the limit of 𝑎^(ℎ−1)/ℎ as ℎ→0 using technology, for various values of 𝑎>0
3.2.3.1
establish the formulas 𝑑/𝑑x sin(𝑥)=cos(𝑥), and 𝑑/𝑑x cos(𝑥)=− sin(𝑥) by numerical estimations of the limits and informal proofs based on geometric constructions
3.2.3.2
identify contexts suitable for modelling by trigonometric 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
3.2.4.1
select and apply the product rule, quotient rule and chain rule to differentiate functions; express derivatives in simplest and factorised form
