Optimization

An introduction to the idea of optimization, which is the business of using differential calculus to find the minimum and maximum values of a function on its domain. We look at three examples, one for which we are able to use the closed interval method, another which requires a slightly more subtle analysis of the sign of the derivative, and then a third in which we take advantage of implicit differentiation to simplify our calculations.

0:00 What is optimization?
1:45 General strategy for optimization
4:43 Example A: The closed interval method in action
9:14 Example B: Minimizing the area of an open-top box
13:50 Example C: Using implicit differentiation to find a nearest point to a curve

Видео Optimization канала Chris Odden