Worksheets - Derivatives (First Principles) - Harder

Differentiation from First Principles – Advanced Student Worksheets with Full Solutions

GCSE / A-Level Prep | Algebra Mastery | Ideal for Independent Practice

This printable PDF resource contains two high-quality worksheets on Differentiation from First Principles, designed for confident Key Stage 4 or early KS5 students who are ready for a deeper challenge. With fully worked solutions provided, it’s a perfect independent study or revision task.

Resource Contents:

2 x Student Worksheets (A4, PDF)

Each includes 10 algebraically-rich differentiation questions

A fully worked example to guide students at the top of each worksheet

2 x Solution Sheets (PDF)
Complete, detailed, step-by-step solutions (not just final answers!)

Excellent for self-checking or guided marking

Best For:

Cover/supply lessons after initial instruction

Homework tasks

Independent learning

Small group work

Stretch and challenge for high-attaining students

Skills Required:

These questions assume students are confident with:

Expanding and simplifying algebraic expressions

Collecting like terms

Factoring expressions

Working with polynomial functions (up to degree 4)

No functions below cubic or above quartic are included, ensuring a consistent and accessible challenge level.

Please Note:

This pack includes worksheets and full solutions only.

Looking for full lessons or teaching slides?
Check my other TES resources for full Differentiation lesson bundles that include these worksheets as part of a comprehensive lesson plan.