Calculus 1 (Full Course) || Math 1A || UC Berkeley - 4.7 Optimization | Video 2 - Maximize and Minimize Sum || Calculus 1
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What you'll learn
This course includes
23.5 hours of video
Certificate of completion
Access on mobile and TV
Summary
Full Transcript
Learn how to set up and solve an optimization problem. We do an example in which we maximize and minimize a certain sum.
@0:00 - Read problem
@0:38 - Step 1: Identify quantity to optimize
@1:20 - Step 2: Picture and variables
@2:23 - Step 3: Write objective equation
@4:40 - Step 4: Write constraint equation
@6:45 - Step 5: Find crit. numbers
@8:28 - Step 6: Test crit. numbers (Method 1: Closed Interval)
@12:10 - Step 7: Answer question
@13:55 - Test crit. numbers (Method 2: 1st Deriv Test)
@18:55 - Test crit. numbers (Method 3: 2nd Deriv Test)
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