Ex: Optimization - Maximum Area of a Rectangle Inscribed by a Parabola

This video provides an example of how to find the rectangle with a maximum area bounded by the x-axis and a quadratic function.
Site: mathispower4u.com
Blog: mathispower4u.w...

[@ronalds271]

You're 1,000,000,000 times better than my calculus teacher. Thank you. Please post more AP Calculus videos. Maybe you can solve AP questions. You're a god given gift to teach. Regards

[@Nuclear.chain.reaction]

My calc teacher just posts links to these videos and that is 100% of all he does for his job. Granted more than 50% of the class have dropped out due to not being able to get a hold of our actual teacher to help answer questions and the other half have grades around 60% but hey I think the videos are pretty good and I'm passing the class.

[@davebacknolaliki1452]

Watched tons of videos and this one helped explain the why behind the values you get for solving the best. Thank you so much.

[@eidoln9206]

Thank you so much for this! Was really struggling with the wording and how to apply the lesson in my math book

[@mual4740]

i am a calculus student and i get this but i just do not know how can i observe that i only need to do what you did cuz when i try to do it myself i end up trying hard stuff and never have the solution but when i see you doing it i find it easy so it's easy but unpredictable , am i supposed to notice and observe what stuff is going on or it is ok to just learn every possible trick these questions can have

[@WrathOfMega]

Oh shit, this is literally the exact problem I'm doing.

[@terminate5888]

lol same. did you find this question in a a level maths book by any chance?

[@cosmicboom4010]

@@terminate5888 OCR pg 288 Mixed practice 14 Q6

[@terminate5888]

@@cosmicboom4010 thanks, mine was in an AQA book

[@justinetabayag3565]

hope's mine too

[@IvyANguyen]

Thanks so much for helping me figure this out. :)

[@arcenojeaj.9344]

it's so nice, thank you for this, I'm really enlightened🙌

[@na1yoona508]

Appreciate ur clear explanations!

[@Nick97R]

Awesome notes man, helped me a lot!

[@Bsblob]

What if the parabola wasn't symmetrical about the y-axis?

[@ahmedaziz9728]

hey man, if for example the question was the same but the equation was 21-x^2, would the answer be 14square root 14?

[@redkellbell6169]

For some reason this didn't make sense for me... I guess I need more explanation on how you got the values for each side. I just looks like you pulled those values out of no where...

[@DJmonk123]

RedKellBell exactly isn’t 4-2x the equation for the graph?

[@johnfritz2310]

Would you do anything different if the problem just asked for the value of x that maximizes the area

[@lpshappybread8407]

im in precalc and i have to do this on a test tomorrow but I CANNOT UNDERSTAND WHAT A DERIVATIVE IS

[@theminuteman6211]

Equation for instantaneous slope at a point x

[@NO-1-U-NO]

😀 This video was very helpful! Thank You So Much!

[@johnzrock]

how you get the length and width of the1st quadrant rectangle ...

[@AJBurtonOperator]

thanks for the example!!!

[@yiwu6731]

thanks, it is really helpful

[@salidiallo]

what about with its opposite corners?

[@iluvbigbootie]

so you can use the snd derivative to find the max or min instead of testing the intervals ?

[@Mathispower4u]

Yes, you can! However, your instructor may want you to use either the first derivative test by testing intervals for incr/decr or the second derivative test by testing the concavity at the critical numbers.

[@iluvbigbootie]

Mathispower4u why are u using the critical number from the first derivative instead of using the critical number from the snd derivative? can you do that? i have seen other video they only use critical numbers from snd derivative to test for concavity.

[@austinfletcher2065]

Shouldn't it be 2√3 /(3) ? not 4

[@nhamade97]

GOD BLESS YOUR SOUL

[@Aithal_S]

THANKS A LOT!!

[@fivestarfool]

Thanks! Very helpful!

[@sajidsarwar1006]

thx used this for my assignemt

[@stephaniemonarrez8109]

Thanks for the help!!

[@hopper9034]

Thank you.

[@Salma-uu5rr]

How is 4 equal to 12/3?

[@riddleiddle]

3 goes into 12 4 times.

[@123alison456]

GOD BLESS YOU

[@BazHitsBills]

thanks, helped alot

[@greenmango7146]

👍

[@ethanthegoofykind]

Sus

[@jackspank9521]

amogus

[@aniruthramanathan1927]

Amogus