FIND TWO NUMBERS WHOSE SUM IS 23 AND WHOSE PRODUCT IS A MAXIMUM - Optimization Problems Calculus
10.6 هزار بار بازدید -
4 سال پیش
-
Find two numbers whose sum
Find two numbers whose sum is 23 and whose product is a maximum. This is a common example that you will run into when learning about optimization problems. Optimization calculus problems are a common application of critical numbers and finding the local and global extrema. This is a good example to see whether you are taking a college calculus course or looking for AP Calculus optimization problems.
You can find these two numbers with a few simple steps:
0:00 Intro & Problem
0:17 Determine the restriction and function you need to minimize
1:26 Use the restriction to rewrite your function in only one variable
2:30 Find the critical numbers of the function
4:32 Use the critical number(s) to find the other number that maximizes the product
WATCH NEXT
+ Find two numbers whose difference is 100 and whose product is a minimum - FIND TWO NUMBERS WHOSE DIFFERENCE IS ...
+ How to Find Critical Numbers of a Function - CRITICAL NUMBERS AND CRITICAL POINTS ...
+ How to Find Global Maximums and Minimums - FIND THE GLOBAL MAXIMUM AND MINIMUM F...
+ First Derivative Test to Test Critical Numbers - FIRST DERIVATIVE TEST FOR LOCAL MAXIM...
READ MORE
+ Find two numbers whose sum is 23 and whose product is a maximum - https://jakesmathlessons.com/derivati...
+ Optimization Problems - https://jakesmathlessons.com/derivati...
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+ Download my FREE calc 1 study guide - https://jakesmathlessons.com/Calculus...
+ My Complete Calculus 1 Package - https://jakesmathlessons.com/complete...
+ Work with me! - Come to Wyzant for some 1 on 1 online tutoring with me and get a $40 tutoring credit for FREE - https://is.gd/cqeuOv
Some links in this description may be affiliate links meaning I would get a small commission for your purchase at no additional cost to you.
You can find these two numbers with a few simple steps:
0:00 Intro & Problem
0:17 Determine the restriction and function you need to minimize
1:26 Use the restriction to rewrite your function in only one variable
2:30 Find the critical numbers of the function
4:32 Use the critical number(s) to find the other number that maximizes the product
WATCH NEXT
+ Find two numbers whose difference is 100 and whose product is a minimum - FIND TWO NUMBERS WHOSE DIFFERENCE IS ...
+ How to Find Critical Numbers of a Function - CRITICAL NUMBERS AND CRITICAL POINTS ...
+ How to Find Global Maximums and Minimums - FIND THE GLOBAL MAXIMUM AND MINIMUM F...
+ First Derivative Test to Test Critical Numbers - FIRST DERIVATIVE TEST FOR LOCAL MAXIM...
READ MORE
+ Find two numbers whose sum is 23 and whose product is a maximum - https://jakesmathlessons.com/derivati...
+ Optimization Problems - https://jakesmathlessons.com/derivati...
YOU MIGHT ALSO BE INTERESTED IN...
+ Download my FREE calc 1 study guide - https://jakesmathlessons.com/Calculus...
+ My Complete Calculus 1 Package - https://jakesmathlessons.com/complete...
+ Work with me! - Come to Wyzant for some 1 on 1 online tutoring with me and get a $40 tutoring credit for FREE - https://is.gd/cqeuOv
Some links in this description may be affiliate links meaning I would get a small commission for your purchase at no additional cost to you.
4 سال پیش
در تاریخ 1399/03/29 منتشر شده
است.
10,622
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