Applications of Differentiation | 40 Worked Examples | Edexcel A-Level Maths

40 progressive Edexcel A-Level (9MA0) questions on applying differentiation, with full mark-scheme style worked solutions.

What’s inside:
Easy: gradients at a point, equations of tangents and normals, finding stationary points, and increasing or decreasing functions.
Medium: classifying stationary points with the second derivative, increasing and decreasing intervals, and tangents and normals using the chain, product and quotient rules.
Hard: optimisation problems (maximising area or volume, minimising surface area subject to a constraint), the inconclusive second-derivative case, a normal that meets the curve again, and stationary points of product and quotient functions.

Every solution shows every step, with M1 (method), A1 (accuracy) and B1 (independent) marks annotated at exactly the point each would be awarded, plus a plain-English note on every working line. The optimisation questions model the full exam method: set up with a constraint, reduce to one variable, differentiate, solve, and confirm the nature. Typeset in LaTeX for clean mathematical notation.

Ideal for: Year 13 students sitting Edexcel A-Level Mathematics (9MA0) Paper 1 / Paper 2 Pure, plus tutors and teachers building targeted practice. Print-friendly, hand straight to students.