Optimization Problems in Calculus

What good is calculus anyway, what does it have to do with the real world?! Well, a lot, actually. Optimization is a perfect example! If you want to figure out how to maximize your profits or minimize your costs, or if you want to maximize an area or minimize a distance, you are finding the maxima and minima of a function, and that's doing calculus! All we need to know is how to take derivatives and set them equal to zero, so let's go make some money!

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[dressedtight]

Finals in an hour, and I'm here from the related rates video

[overlordprincekhan]

Optimisation problems is arguably the best real-life application of calculus

[quanlai]

I have been struggling in ib math and this helped me clear up what my teacher taught for the past week. I watched your videos for chemistry, physics, and now math. You have saved my life sir. 🙏

[raihansk]

I like your channel so much. You explain everything in the best and the easiest as well as in an interesting way. Thanks Professor Dave. Make more videos.

[igotapochahontas]

This is exactly why people like me are actually asking for when we ask what this has to do with anything or what will I actually use this for. Our minds work backwards. If you tell me the rule first, then the application, I forgot the rule because it had no relationship to anything I understand. By showing the application and what the variables relate to, it's so much easier to remember the rules or learn them while applying them. I wish all math videos would explain according to this concept like this video. There are already too many that do things the other way.

[saintly]

Every time I hear your intro song, my thoughts turn happy and I know that this difficult subject will soon be understandable. Thanks Professor Dave :)

[dominiccirineo]

Dave! Your videos are incredible, I was quite stuck on Optimization/Related-Rates using derivatives, but you've cleared it up almost effortlessly!

Great professor, truly, lol. Thanks again!

[elethunkala]

Thank you very much mathematics is always simple with professor Dave.

[sarahlewis]

You are seriously the best. Thank you so much for these videos.

[JesseTheG_]

Instead of watching the useless online lecture videos my professor posts, I come straight here to get edumacated

[secretaryfig]

I FINISHED DIFFERENTIATION LAST YEAR BUT UR VIDEOS HELPED ME MASTER IT DAVE THANKS!

[themathwizj]

Math is like my bff for life because I'll use it to create a new cure for cancer when I'm a chemical engineer

[eigentlichtoll]

really interesting. I thought the area should be maximized when simply having the shape of a square. The farmer example shows DO THE MATHs

[MrD]

man your videos are helping me pass finals in computer science ! thank you mate keep going

[JeffReams]

Another very helpful video! Thanks Professor Dave :)

[Kiky_MedPhysicist]

Thank you sir for your dedication and for making this free! 🙏

[Sonny]

Wait! I think I understand now. Derivative is actually the SLOPE OF TANGENT LINE of a function. So when it's 0. That means the tangent line is going horizontally. This means that the function's y value can't be any greater as it is contained by the tangent line. Thus the f(x) is largest when dy/dx =0. Am I babbling??

[santhosht.h]

@professor dave sir....for the same question how can I find both maximum and minimum values...suppose I have 2400 m fence...how can I find the minimum area...pls explain it sir??

[Wutheheooooo]

if extrema is not the highest or lowest point of a function. Then why they are the most optimized?

[ygreaterr]

Dancing to "checking comprehension" music when my answer is right