Support Prove and use the formula d/dx(log_ax) = 1/xln⁡a, where a is a constant and a > 0

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.

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Prerequisite dot points

Derive the laws of logarithms from the laws of indices log_a⁡m + log_a⁡n = log_a⁡(mn), log_a⁡m - log_a⁡n = log_a⁡(m/n) and log_a⁡(mⁿ) = nlog_a⁡m

Mathematics Advanced 11–12 – Year 11 · Exponential and logarithmic functions Draft mapping

No checked resources on this prerequisite dot point yet.

Prove the change of base rule log_a⁡x = log_b⁡x/log_b⁡a and use it to solve problems

Mathematics Advanced 11–12 – Year 11 · Exponential and logarithmic functions Draft mapping

No checked resources on this prerequisite dot point yet.

Find derivatives of constant and linear functions

Mathematics Advanced 11–12 – Year 11 · Introduction to differentiation Draft mapping

No checked resources on this prerequisite dot point yet.