Calculus - Differentiation - Applications of Calculus.
Most courses which introduce the techniques of differentiation include a section on the applications of differentiation to solve problems.
The problems addressed are very varied and range from:
finding gradients and/or the maximum and minimum values of various curves which have equations with unknown meanings
to
real-world situations - again with an emphasis on determining maximum and/or minimum values.
From this page, a variety of resources of all types can be accessed.
| Topic | Resource | Media type |
| 1. Finding gradients and equations of tangents and normals. | Video | |
| Gradients, equations of tangents and normals - Test Yourself 1. | Web page. | |
| Gradients, equations of tangents and normals - Test Yourself 1 - Solutions. | Web page. | |
| Gradients, equations of tangents and normals - Test Yourself 2. | Web page. | |
| Gradients, equations of tangents and normals - Test Yourself 2 - Solutions. | Web page. | |
| 2. Concavity - the 2nd derivative. | Video | |
| Concavity - Test Yourself 1. | ||
| Concavity - Test Yourself 1 - Solutions. | ||
| 3. Finding maximum and minimum values: | Theoretical questions. | |
| 4. Techniques applied to practical situations | Go to main page for applied questions. | |