- Knowledge
- Motivation - How fast are you really going?
- Motivation - The more things change
- Content - The gradient of secants and tangents to a graph
- Content - Calculating the gradient of y = x²
- Content - Definition of the derivative
- Content - Notation for the derivative
- Content - Some derivatives
- Content - Properties of the derivative
- Content - The product, quotient and chain rules
- Content - Summary of differentiation rules
- Content - The tangent line to a graph
- Content - The second derivative
- Content - Differentiation of inverses
- Content - Implicit differentiation
- Links forward - Higher derivatives
- Links forward - Approximations of functions
- History and applications - The discoverers of calculus
- History and applications - The Newton–Leibniz controversy
- History and applications - Mathematically rigorous calculus
- Appendix
- Answers to exercises
- References