# 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.

- Chain rule: One (solutions)
- Chain rule: Two (solutions)
- Chain rule: Challenge (solutions)
- Implicit differentiation: One (solutions)
- Implicit differentiation: Two (solutions)
- Implicit differentiation: Three (solutions)
- Implicit differentiation: Four (solutions)
- Implicit differentiation: Extension (solutions)
- Curve sketching: One (solutions)
- Curve sketching: Two (solutions)
- Differentiating inverse trig functions (solutions)
- Optimisation problems: One (solutions)
- Optimisation problems: Two (solutions)
- Mean value theorem and Rolle’s theorem (solutions)
- Approximation formula (solutions)
- Estimating errors (solutions)
- Revision: Errors (solutions)