Pure / Steady

Differentiation

Gradient, rate of change, and standard derivative techniques.

Differentiation powers modelling, optimisation, and curve work later on.

Rehearse the power rule, then move into tangents, normals, and stationary points.

Differentiating accurately but not using the result to answer the actual question.

Act like an A-Level Maths tutor and walk me through differentiation with one tangent example.

Starter tasks

Keep the first session short and clear.

Differentiate four expressions of increasing difficulty.

Find the tangent to a curve at a given point.

Classify stationary points from a sketch or derivative.