estimate the limit of 𝑎^(ℎ−1)/ℎ as ℎ→0 using technology, for various values of 𝑎>0
recognise that 𝑒 is the unique number 𝑎 for which the limit (in 3.2.1.1) is 1
establish and use the formula 𝑑/𝑑x (𝑒^𝑥)=𝑒^𝑥 and 𝑑/𝑑x 𝑒^[𝑓(𝑥)] = 𝑓′(𝑥)𝑒^𝑓(𝑥)
select and apply the product rule, quotient rule and chain rule to differentiate functions; express derivatives in simplest and factorised form
