Support · Mathematics Advanced 11–12 – Year 11 · Introduction to differentiation

Support Define the average rate of change of y with respect to x for a function y = f(x) over the domain [a,b] as (Δy)/(Δx) = (change iny)/(change inx), that is (Δy)/(Δx) = (f(b) - f(a))/(b - a), and recognise (f(b) - f(a))/(b - a) as the gradient of the secant through (a,f(a)) and (b,f(b)) on the graph of y = f(x)

Resources for the prerequisite content of this dot point: earlier-stage (or earlier sub-level) dot points in the same strand that students usually need first. Use these to fill gaps before or alongside the core lesson.

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Prerequisite dot points