P3.4.1 - Differentiating exp, log and trig functions

Differentiation of ekx, ln kx, sin kx, cos kx, tan kx and their sums and differences.

Use differentiating exp, log and trig functions to connect the rule to the data and decision in the question.

This matters because differentiating exp, log and trig functions determines what can be inferred or chosen; begin with the stated conditions and keep the conclusion tied to the evidence.

Example: apply differentiating exp, log and trig functions to one small, clearly defined case, show the key step or comparison, and explain the result in words.

Boundary: Differentiating exp, log and trig functions is not a universal recommendation. Check the syllabus scope, assumptions, units and the limits of the evidence before generalising.