Optimization: Find Two Numbers Whose Product is a Minimum

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This video shows how to find two numbers given a difference and whose product is a minimum.
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I'll certainly check out "the other ones" as I'm progressing. Great intro to the topics of Optimization problems. Thank You

ddahstan
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Great explanation! Helped me a lot for my homework!

alem.
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or 0+100/2= 50, since given that the parabola open upward, and the minimum is between these two numbers of x and 100.🤗

francisjunior
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when i plugged my x value to check if it was a minimum, it turned out to be a max instead....my problem was, two numbers add up to 36. find th we numbers so that the product is a minimum. my answer was x=18 and y=18, but why did my check on the number lie show that the 18 was a ma and not a min is my question?

itsjazlyn
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Hi thank you for your help. Math gives me anxiety sometimes and your voice was calming. You give Sal Khan vibes.

arunasrivastava
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Can you do this without finding the derivative?

kymtrickel
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Why wouldn’t the answer be -infinity, infinity +88.

Kyle-xtyz