Mathematics Advanced 11–12 – Year 11 · Introduction to differentiation · The derivative · Topic: Calculus · Year 11
Approximate the gradient of a curve f(x) = xⁿ at a point P(c,f(c)) by considering the gradient of the secant through P and Q(c + h,f(c + h)) as the magnitude of h approaches zero, using graphing applications or a spreadsheet
Dot point ID advanced-year-11-introduction-to-differentiation/dp-57f5e4bb · See it on the NSW Curriculum website ↗
↩SupportBuild the prerequisite skills first · 5 resources★EnrichExtension & rich tasks · 0 resources
Outcomes for this focus area (MAV-11-06)
MAV-11-06 interprets the meaning of the derivative and determines the derivative of functions to solve problemsCore resources for this dot point
On-level resources, grouped by type. Need the building blocks? Use Support. Ready for more? Use Enrich.
Interactive tool
- Desmos Graphing CalculatorUse it for: Graph lines, parabolas and exponentials live; find intersections to solve simultaneous equations.
- Interactive toolEnrichmentGeoGebra ClassicUse it for: Dynamic geometry and graphing for constructions and proofs.