P1.4.3 - Tangents, normals and gradients

Applications of differentiation to Use of differentiation to find equations of tangents and gradients, tangents and normals. normals at specific points on a curve.

Use tangents, normals and gradients to connect the rule to the data and decision in the question.

This matters because tangents, normals and gradients determines what can be inferred or chosen; begin with the stated conditions and keep the conclusion tied to the evidence.

Example: apply tangents, normals and gradients to one small, clearly defined case, show the key step or comparison, and explain the result in words.

Boundary: Tangents, normals and gradients is not a universal recommendation. Check the syllabus scope, assumptions, units and the limits of the evidence before generalising.