How to Solve ANY Optimization Problem [Calc 1]
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Published 2019-11-03
Same video but related rates: • How to Solve ANY Related Rates Proble...
All Comments (21)
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The derivatives thing and that stuff is fine, but it's just creating the equations that's so hard for me
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In calculus there are two things I gave up on learning, related rates and optimization. No matter how much time I spent on them I never got it right and I thought that there was no hope for me. This video is the first video ever that actually helped me understand how to do optimization. I think I still need to do more practices problems, but I genuinely want to thank you because I finally get it now. So truly from my bottom of my heart, thank you. ❤️
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I have a chapter three test in 32 minutes...... this helped.... still doomed
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was staring at the 20L thinking "how tf did he get 10" for like 5 minutes... lmfao
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I had been having SUCH a hard time with this for months, but now it's the night before the AP exam and this video has officially taught me how to do optimization problems!!! The part about having to only have one unknown variable so that that is what the derivative is in terms of is ingenious and I am SO thankful to have that advice now!! Thank you so much!!!
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Writing for comprehension purposes 1. Draw the function 2. Write the area function and constraint function 3. Solve constraint function for a variable 4. Plug variable function back into area function 5. Find critical points using first derivative test 6. Check if critical points are extraneous 7. Check critical points that aren't extraneous using second derivative test 8. If a maximum, you have your answer for that variable
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Related rates is easier because you deal with only one equation most of the time. These usually take a main equation and one or more helper equations that the constraint goes into (most of the time). A lot more thinking and planning involved. The calculus itself is the easy part.
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I love how you say we are not in multivariable calculus yet. So relatable hahaha. Optimization and Related rates are hell. Optimization is the big boss I am dealing with.
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Thank you! Quickly and concise explained this....having my class online has been difficult 😪
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what an amazing explanation, also that "good luck on the test" at the end sounded so sincere
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This has been extremely helpful, since optimization has been one of my weaknesses in PreCalc H. I’m now ready to ace my final exam!
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Thank you !! the teacher has been teaching us optimization for a whole week or two, and this helped me understand it much better :)
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You are the sole reason I passed my calculus 1 class, Thank you so much
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Literally have a final tomorrow for calc and I never ever got optimization but this video def helped out. Wish me luck guys
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Ive been trying to understand this for a while thanks for explaining it in such a simple way.
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man thank you so goddamn much, this is a life saver. everyone who did the exam yesterday tanked the optimization question, hopefully, I wont after watching this!!
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Thanks man your 20s kinda look like 10s tho 😅
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My test is tomorrow... been doing not so good in calculus but this helps a bit
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Thank you so much! I have a test tomorrow and optimization finally clicked for me in this video!
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Well explained bro, as a super-simple introduction to this whole topic!! I like the little mnemonic with the ‘smiley’ / ‘sad’ faces, that’s a nice one to teach!! 👍🇬🇧🇺🇸
