Differentiation: Theory, Practice & Solutions

Need a straightforward way to review differentiation and give students plenty of practice? This resource brings the key theory, practice questions, homework, and worked solutions together in one file.
What’s included?
Theory Review – 8 pages
A concise review of the main ideas students need for differentiation, including:

• Definition and geometric interpretation of the derivative
• Basic differentiation rules
• Product and Quotient Rules
• Exponential, logarithmic, and trigonometric functions
• Chain Rule
• Higher-order derivatives
• Implicit differentiation
• Tangent and normal lines
• Kinematics
• Optimization
• Parameter problems
• Exponential growth models
• Key strategies and common pitfalls
  Practice – 12 pages
  Students can practise their skills through a variety of question types:
• Multiple-choice questions
• True/False questions
• Short-answer questions
• Homework / independent practice
  The questions give students opportunities to practise calculations, explain their reasoning, and apply differentiation to different types of problems.
  Solutions – 12 pages
  A full set of worked solutions is included. These can be used for marking, classroom discussion, student self-checking, or revision.
  Why use this resource?
• Covers a wide range of differentiation skills in one resource.
• Gives students both review and practice.
• Includes different question formats rather than relying only on routine exercises.
• Useful for identifying common errors and reviewing key ideas.
• Worked solutions make marking and feedback easier.
• Can be used in class or given to students for independent work.
  Suitable for
• Differentiation lessons
• Classwork
• Homework
• Revision
• Test preparation
• Independent practice
• Extra calculus practice
  A practical resource for helping students review differentiation, practise their skills, and check their solutions.