Optimization Module:
The video below will help in your understanding of using derivatives to optimize. In optimization problems we are looking for the largest value or the smallest value that a function can take. One kind of optimization problem is where we find the largest and smallest value that a function would take on an interval. Another type of optimization problem is where we look for the largest or smallest value of a function subject to some kind of constraint. The constraint will be some condition (that can usually be described by some equation) that must absolutely, positively be true no matter what our solution is. In class lecture notes are also available above in 4.4.1.
After watching the video work on the following worksheet:
The video below will help in your understanding of using derivatives to optimize. In optimization problems we are looking for the largest value or the smallest value that a function can take. One kind of optimization problem is where we find the largest and smallest value that a function would take on an interval. Another type of optimization problem is where we look for the largest or smallest value of a function subject to some kind of constraint. The constraint will be some condition (that can usually be described by some equation) that must absolutely, positively be true no matter what our solution is. In class lecture notes are also available above in 4.4.1.
After watching the video work on the following worksheet:
optimization_worksheet.pdf | |
File Size: | 69 kb |
File Type: |
click this link for help with the first problem