Support · Mathematics Advanced 11–12 – Year 11 · Exponential and logarithmic functions

Support Examine the gradient of the tangent to the curve y = a^x at its y -intercept for varying values of a, and verify using graphing applications that there is a unique number e ≈ 2.71828182845..., such that the gradient of the tangent to y = e^x at x = 0 is 1, and call this number e Euler’s number

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.

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Prerequisite dot points