Support · Mathematics Advanced 11–12 – Year 11 · Introduction to differentiation
Support Define the derivative of the function f(x) from first principles, as the limiting value of the gradient of the secant (f(x + h) - f(x))/h as h approaches zero, when this limiting value exists, and use the notation f'(x) = limh→0(f(x + h) - f(x))/h
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.
Prerequisite links are draft mappings generated from the syllabus structure (earlier stage, same strand, closest content). They are being reviewed by teachers. Spot a poor match? Tell us.
Prerequisite dot points
Use the notation f(c) to determine the value of f(x) when x = c
Stage 5 · Functions and other graphs (Path) Draft mapping
- Corbettmaths practice questions: Composite functionsUse it for: Free printable graded practice questions (with answers) on composite functions for drill or a quick check.
- WorksheetDrillKuta free worksheet: Evaluating and graphing functionsUse it for: Printable skills-practice sheet with answer key on evaluating and graphing functions; good for drill or homework.
- WorksheetDrillKuta free worksheet: Evaluating functionsUse it for: Printable skills-practice sheet with answer key on evaluating functions; good for drill or homework.
- VideoStarterCorbettmaths video: Composite functionsUse it for: Short worked-example video on composite functions to model the method before practice or for flipped revision.