Mathematics and Statistics

See Also

• Resources
• MATH100 Revision Exercises
• Functions
• Limits and Continuity
• Differentiation and Applications
• Linear Algebra
• Integration
• Differential Equations
• Matrices and Determinants
• Sequences and Infinite Series
• Vector Geometry and Vector Calculus
• Functions of Two Variables

100-level Mathematics Revision Exercises

Differentiation and Applications

These revision exercises will help you practise the procedures involved in differentiating functions and solving problems involving applications of differentiation. Worksheets 1 to 15 are topics that are taught in MATH108. Worksheets 16 and 17 are taught in MATH109.

1. Chain rule: One (solutions)
2. Chain rule: Two (solutions)
3. Chain rule: Challenge (solutions)
4. Implicit differentiation: One (solutions)
5. Implicit differentiation: Two (solutions)
6. Implicit differentiation: Three (solutions)
7. Implicit differentiation: Four (solutions)
8. Implicit differentiation: Extension (solutions)
9. Curve sketching: One (solutions)
10. Curve sketching: Two (solutions)
11. Differentiating inverse trig functions (solutions)
12. Optimisation problems: One (solutions)
13. Optimisation problems: Two (solutions)
14. Mean value theorem and Rolle’s theorem (solutions)
15. Approximation formula (solutions)
16. Estimating errors (solutions)
17. Revision: Errors (solutions)

Back to 100-level mathematics revision Exercises.