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 ACMMM098) is 1
establish and use the formula d/dx(e^x)=e^x
apply the product, quotient and chain rule to differentiate functions such as xe^x, tanx,1/x^n, x sinx, e^(−x)sinx and f(ax+b)
