P1.4.2 - Differentiating powers of x

Differentiation of xn, and related The ability to differentiate expressions such as sums, differences and constant x2 +5x −3 (2x + 5)(x − 1) and is expected. multiples. 3 x.

Use differentiating powers of x to connect the rule to the data and decision in the question.

This matters because differentiating powers of x determines what can be inferred or chosen; begin with the stated conditions and keep the conclusion tied to the evidence.

Example: apply differentiating powers of x to one small, clearly defined case, show the key step or comparison, and explain the result in words.

Boundary: Differentiating powers of x is not a universal recommendation. Check the syllabus scope, assumptions, units and the limits of the evidence before generalising.