FP2.6.3 - Derivation

Derivation and use of Taylor series.; The derivation, for example, of the expansion of sin x in ascending powers of (x − π) up to and including the term in (x − π)3.

Use fp2.6.3 - derivation to connect the rule to the data and decision in the question.

This matters because fp2.6.3 - derivation determines what can be inferred or chosen; begin with the stated conditions and keep the conclusion tied to the evidence.

Example: apply fp2.6.3 - derivation to one small, clearly defined case, show the key step or comparison, and explain the result in words.

Boundary: FP2.6.3 - Derivation is not a universal recommendation. Check the syllabus scope, assumptions, units and the limits of the evidence before generalising.