Support · Mathematics Advanced 11–12 – Year 12 · Integral calculus
Support Find primitives of functions involving exponential functions
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
Graph the exponential functions y = k(a^x) and y = k(a^(- x)) for constants a and k where a > 0, a≠1 and k≠0, and identify its asymptote, y - intercept, domain and range
Mathematics Advanced 11–12 – Year 11 · Exponential and logarithmic functions Draft mapping
No checked resources on this prerequisite dot point yet.
Describe the behaviour of y = k(a^x) and y = k(a^(- x)) as x→∞ and x→ - ∞
Mathematics Advanced 11–12 – Year 11 · Exponential and logarithmic functions Draft mapping
No checked resources on this prerequisite dot point yet.
Examine the gradient function of y = a^x with graphing applications and identify that the gradient function is d/dx(a^x) = ka^x, for some constant k depending only on a
Mathematics Advanced 11–12 – Year 11 · Exponential and logarithmic functions Draft mapping
- 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.