interpret the difference quotient [f(x+h)−f(x)]/h as the average rate of change of a function f
interpret the ratios [f(x+h)−f(x)]/h and δy/δx as the slope or gradient of a chord or secant of the graph of y=f(x)
examine the behaviour of the difference quotient [f(x+h)−f(x)] / h as h→0 as an informal introduction to the concept of a limit
estimate numerically the value of a derivative, for simple power functions
examine examples of variable rates of change of non-linear functions
determine instantaneous rates of change
