1. Economics 214 Lecture 19 Univariate Calculus

2. At the Margin There is a direct correspondence between the mathematical concept of the derivative and the economic concept of considering decisions made “at the margin,” the point where the last unit is produced or consumed. This correspondence makes differentiation, which is the evaluation of a derivative, one of the core mathematical techniques in economics.

3. Derivative Univariate Function

4. Sum-Difference Rule

5. Proof of Sum-Difference Rule

6. Example Sum-Difference Rule

7. Scalar Rule

8. Example Scalar Rule

9. Product Rule

10. Example Product Rule

11. Extension of Product Rule

12. Power Rule

13. Examples of power Rule

15. Exponential Function Rule

16. Critical limit

17. Derivate of e x

18. Growth Rate