How do I revise E2E stub topic for OCR A-Level?

Always show full working for differentiation from first principles, even if the final answer is simple

What exam tips are there for E2E stub topic? (2)

Check derivative results by considering graphical behaviour or using numerical verification

What exam tips are there for E2E stub topic? (3)

Label clearly when finding stationary points and their nature; use a table if necessary

What mistakes should I avoid in E2E stub topic?

Forgetting to multiply by the derivative of the inner function when using the chain rule

What are common errors in E2E stub topic exams? (2)

Misapplication of the product rule, often confusing the order of terms

E2E stub topic

OCR

A-Level

This subtopic focuses on the fundamental concepts of differentiation in calculus, including the limit definition, rules for differentiation, and applications to rates of change and optimisation. Proficiency in differentiation is essential for solving real-world problems in physics, engineering, and economics, and forms the basis for advanced mathematical analysis.

Objectives

Exam Tips

Pitfalls

Key Terms

Mark Points

What You Need to Demonstrate

Key skills and knowledge for this topic

Award credit for correctly applying the chain rule to composite functions
Expect precise algebraic simplification when finding derivatives from first principles
Look for clear identification of stationary points and correct classification using second derivative or sign change
Credit for interpreting the derivative as a rate of change in applied problems

Marking Points

Key points examiners look for in your answers

Award credit for correctly applying the chain rule to composite functions
Expect precise algebraic simplification when finding derivatives from first principles
Look for clear identification of stationary points and correct classification using second derivative or sign change
Credit for interpreting the derivative as a rate of change in applied problems

Examiner Tips

Expert advice for maximising your marks

💡Always show full working for differentiation from first principles, even if the final answer is simple
💡Check derivative results by considering graphical behaviour or using numerical verification
💡Label clearly when finding stationary points and their nature; use a table if necessary
💡In applied problems, ensure you define variables and state the domain of the function

Common Mistakes

Pitfalls to avoid in your exam answers

Forgetting to multiply by the derivative of the inner function when using the chain rule
Misapplication of the product rule, often confusing the order of terms
Sign errors when differentiating trigonometric functions
Incorrectly identifying stationary points without considering endpoints in optimisation

Key Terminology

Essential terms to know

Limit definition of the derivative

Differentiation rules (power, product, quotient, chain)

Applications to tangents and normals

Optimisation and stationary points

Second order derivatives and concavity

Ready to test yourself?

Practice questions tailored to this topic

E2E stub topic

What You Need to Demonstrate

Marking Points

Examiner Tips

Common Mistakes

Key Terminology

Ready to test yourself?

Related Topics in OCR A-Level Mathematics

– Mechanics

– Pure Mathematics

– Statistics

Algebra and Functions