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Mathematics Advanced 11–12 – Year 11 · Introduction to differentiation · The derivative · Topic: Calculus · Year 11

Infer that nx^(n - 1) is the gradient of f(x) = xⁿ and verify the result using graphing applications

Dot point ID advanced-year-11-introduction-to-differentiation/dp-265e8b7f · 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 problems

Core resources for this dot point

On-level resources, grouped by type. Need the building blocks? Use Support. Ready for more? Use Enrich.

Interactive tool

Interactive toolStarter Enrichment
Desmos Graphing Calculator
Desmos · Interactive (browser) · Free · Link checked 2026-10-15 · No prep
Use it for: Graph lines, parabolas and exponentials live; find intersections to solve simultaneous equations.
Also tagged to: Examine the gradient of the tangent to the curve y = a^x at …; Use graphing applications to identify the graphs of y = a^x …; Examine the gradient function of y = a^x with graphing appli…; Establish using graphing applications that replacing x by - … and 82 more
Interactive toolEnrichment
GeoGebra Classic
GeoGebra · Interactive (browser) · Free · Link checked 2026-10-15 · No prep
Use it for: Dynamic geometry and graphing for constructions and proofs.
Also tagged to: Examine the gradient of the tangent to the curve y = a^x at …; Use graphing applications to identify the graphs of y = a^x …; Examine the gradient function of y = a^x with graphing appli…; Establish using graphing applications that replacing x by - … and 84 more