Optimization Calculus 1 - 2 Problems

[@LwaziNzimande]

Woah! This is crazy! I watched the video up 2:19 and now I can solve any optimization problem. Thank you so much. Love it...

[@Bunk_Moreland]

no kidding!

[@azizelbasheir3106]

Excellent explanation. Made a seemingly impossible concept extremely understandable.

[@Calcworkshop]

+Aziz Elbasheir :)

[@AbyssalGlare]

so I have watched about every video on optimization and I couldn't do it at all until I watched this video. Thank you. Don't ever stop teaching math.

[@Calcworkshop]

Thank you so much for your kind words. :-)

[@thecircle8086]

my left ear enjoyed this :). also great video thank you!

[@CoDRagna]

+The Circle got scared thouught my right earbud broke haha

[@good-tn9sr]

I thought these were all bots ngl. But it’s true she basically explains how you should go about optimization. It’s really hard for professors to even explain it so they just go on along chugging numbers. Thanks woman 🙏🏾

[@Cbassdaddy]

Honestly, you are amazing, so clear and to the point but not sparing explanation. I am super bad at math and I got every single step and was not lost once. I hope you get the recognition you deserve. Very very good teacher! Thank you so much.

[@Calcworkshop]

Hey Sebastian Correa - Thank You So much for the kind words. I'm so glad to hear we've been able to help you out. :)

[@robmoore8393]

Unbelievable !! I wish I'd had teachers like this in college who are so clear and logical, she's like a walking syllogism !! thanks!

[@haninyaghmour3125]

thank you so much. I don't think it is possible for anyone to simplify it more than you have.

[@ivetteamador9122]

what has taken me a week to try and understand took me 18 min thanks to your video. I am referring my classmates to your channel. thanks sooooooo much for your help!

[@Calcworkshop]

Hey Ivette - It's good to hear how much we've been able to help you out. Thanks!!

[@yamiletvallejohinojosa4563]

I have to take a test in 2 hours, and you just explained it so clearly. Thank you so much. *Please wish me luck

[@nelsongonzalez7463]

There’s tons of good videos on this but yours made the most sense to me

[@Calcworkshop]

You're welcome Nelson!

[@R10Swag]

Omgg this was amazing! You explain the concept so clearly. I can actually do optimization now.

[@a-mirrorvlogs5519]

Calculus in plain English! Thanks for putting the EXACT steps needed to solve optimization problems!

[@Calcworkshop]

you're welcome!

[@chrisp2639]

First teacher I have seen that seems to understand the main problem comes from setting up the two equations. Good stuff, I have a test over this in the morning and your explanation helped a bunch! 🤞

[@DavidHillJunior]

Thank you for your explanation of optimization problems. I watched this after going over this in my last lesson and it really help solidify the subject matter. I didn't really notice I was plugging into two equations every time and now that i know what to look for, I feel confident. Thank you again!

[@musam.f.kouma-deitokromah2620]

Thanks for the crystal clear explanation of Optimization.

[@Calcworkshop]

Hi Musa M.F. Kouma-Deito Kromah - You're very welcome. I'm glad it helped you out.

[@RodesLaw]

You are an excellent teacher. Thank you so much for these free videos.

[@Calcworkshop]

Hi Cooked Vegan Fitness - Thanks! I'm so glad they helped. :)

[@josphellihsilak4588]

3 months into calc and I want to jump into the ri era and float away. None the less, great video.

[@eugenepeprah8825]

You explained so well my kid brother will even understand what you're doing.

[@jungpreylem7343]

THANKYOUUU VERY MUCH! THIS HELPED ME A LOT FOR OUR CALCULUS TEACHER AINT DOING HIS JOB AND IM TOO LAZY TO READ MY BOOK. ILYSM.

[@bradingram7727]

used your method to find max area of a rectangle bound by a certain function. helped me out a lot. thanks!

[@Calcworkshop]

+Brad Ingram - Rock ON!

[@fahriathar]

you have summarized it nicely, pretty easy to be digested, keep on good work. it helped a lot.

[@datsmydab-minecraft-and-mo5666]

Thank you so much! finally helped me understand the difference between solving one for the max and one for the min

[@Thuchainz]

Thank you so much for this video! It really helped me understand optimization once you broke it down into three steps and made it ALOT less daunting!

[@edersantos1735]

WOW I wish my college professor could explain calculus like you ... would make my life much easier!!!! Thanks for the video.

[@Calcworkshop]

Glad you enjoyed the video!

[@milliepards96]

The Dora of Calc teachers and I mean that in a good way great explanation!

[@syedazeem3740]

Best videos to help you with calculus all over youtube

[@Calcworkshop]

Thank you so much Syed!

[@jessicaloudenburg7521]

Love your video! You are very clear and easy to understand. I will go to your videos for help in the future. Thank You!

[@Calcworkshop]

Thanks Jessica!

[@xbeautybelle]

Thank you so much for this video I recently missed 2 periods of my honors calc class and this video was extremely helpful I have a test tomorrow and I am 100% able to do my review sheet! Great video

[@Calcworkshop]

+Nicole Michelle You're welcome!

[@evellydayane2805]

Thanks for the explanation, I really loved how much you made it simple!!

[@dakwrx3766]

Thank you so much! I finally understand optimization so much better now thanks to you :D

[@secondbelarus]

I appreciate your quick joke at 12:10 on minimum ink in the green dry-erase marker: "Oh my goodness, it's a minimum!" Right to the situation! :-)

[@Calcworkshop]

haha - glad you enjoy my quirks.... :)

[@asdhaslf]

Very Helpful Thank you! Keep up the great work, this is much appreciated.

[@mayamaya9162]

This was so amazing! So clear and easy to understand! THANK YOU

[@francoisdutoit6758]

Thanks a lot for clear explanation. Any more videos on calculus & linear algebra coming? See forward to it!

[@schrodingerscat3912]

your one smart cookie. somehow you turned something aversive into an enjoyable hobby

[@Calcworkshop]

Hey Nate - Thanks a lot. That's cool way of looking at it. :)

[@kris061000]

Simple and clear!!!Great job!Thank you for your video!!!

[@Sam-iq7rt]

First time commenting on a tutorial video.. This was just perfect! Thank you soo much

[@Sam-iq7rt]

Subscribed :')

[@Calcworkshop]

Hi Salma Almekhlafi - wow, Thank You for the compliments! :)

[@Calcworkshop]

Salma Almekhlafi :-)

[@Sam-iq7rt]

Calcworkshop.com - Calculus Videos You're most welcome

[@ericfeng1887]

I love this tutorial, super fluent and easy to understand!!!! amazing, helped so much:)

[@julianc6551]

The first example is better understood if you use example Area = x*y = 198. Find minimum perimeter of a rectangle 2(x+y) which has Area(x*y) = 198 . Also do you know where I can find a Simplex program for multivariable linear optimization. Thanks.

[@ElkePoN]

Thank youuuuuyuu!!!! Right to the point! Simple! And with real life examples! Love you!

[@Calcworkshop]

Hi +ElKePoN Adventures - Thanks for the kind words. :)

[@samanthaturner8241]

This was really helpful, she explained this concept very well (I only wish I had watched this before my exam lol)!

[@bellasima1101]

Woah!!! you are amazing. You just made it simple for me. Thank you

[@gladlynalagon8771]

Thank you so much it help me a lot💓, rooting for your more videos 💪

[@PYROxFUSION]

Great video, my left lobe can optimize anything now!

[@misbahur-rehman9157]

thanks to you i passed my finals :)

[@Calcworkshop]

That's great news!! Congratulations!

[@MustangNinjas]

Really wish my teacher explained this as clearly as you do

[@sarahheinz]

Thank you for you fantastic explanation. I love your energy. I will definitely consult your website.

[@xst-k6]

00:30 "...optimize my checking account..." 🤣🤣 finally! I'm watching the right YT video!

[@AA-fb5fr]

thank you sooooooo much you saved my life

[@guidofeliz8384]

A great calculus teacher!

[@billholt8746]

Excellent instruction. Thank you.

[@Calcworkshop]

Hey Bill Holt - thanks for the compliment!. :)

[@arnoldnoriega9523]

Your awesome! Thank you for making this concept simply to understand.

[@Calcworkshop]

+ARNOLD NORIEGA :)

[@malaypatel4452]

This is soooo helpful, Thank you for the great video! really helps, better than anybody else! :)

[@Calcworkshop]

You're welcome!

[@maifolau6996]

thank you so much! I have a calculus test regarding optimization... this gave me further clarification.

[@Calcworkshop]

+Ma'i Folau :)

[@glennangeloquidasol7995]

Awesome explanation! I wish my teacher is more like you~

[@niz3814]

The most amazing video on youtube

[@rachaelcolucci9682]

The derivative is equal to zero at relative minimums and relative maximums. Knowing this, is it safe to conclude that the answers you obtain in the first problem are both minimums? Is it possible that one could be a maximum?

[@pockydust3404]

None of her markers have caps

[@biz_wiz_tech]

lol

[@_mk_2653]

😂😂

[@retribution4341]

Why couldn't you have been my calc teacher. it makes way more sense.

[@ad_h31]

I learned so much, thank you i really appreciate it !!!!!!

[@TheAdidaskicks23]

I'm gonna show my grandkids this video when they're struggling with optimization.

[@Backflipmarine]

Thanks for making this into a short video! :)

[@andrea546]

Shes awesome i wish all her videos were on youtube. 😞😞

[@Calcworkshop]

Hey +Andrea Santiago - Thank You for your kind words. :)

[@bmun9613]

Thank you! This was so much help

[@notyatypicalchick]

I owe you my life. Thank you so much!!!

[@Calcworkshop]

Hey +mackenzie n - You're so very welcome!! Thanks for the kind words.

[@AR-ng4gr]

where did u go!? I wanna look at a rancher too!

[@naturezone5220]

HI.. Its just so awsum,, You are going very good Mam :) (Y) Maxima and Minima the first derivative test optimization Techniques of integration (power of sin and cosine, Trignometric substitutions, integration by parts, Rational functions, etc) Differentital equations Coshy Problems

[@Calcworkshop]

Hi Anam Amin - Thank You SO much!

[@naturezone5220]

Mam..!! Thank you so much. :) I need some more examples..If you can provide me some good notes for maxima/minima better understanding?

[@nikolaussmith-simmons947]

good video... when i watched it, i only got left audio out of the video--dunno if this is a problem on my end or just the video

[@Calcworkshop]

Hi Nikolaus Smith-Simmons - not your end, the video was initially encoded in mono. :-)

[@fayrafarinna5895]

thank you so much!

[@efilata7854]

Thank you so much. It really helped.

[@williamblake3795]

can you do a series on derivatives, implicit differentiation and using log as well e^X in derivatives

[@vanessamaerere9006]

You're a blessing!! Thank you so much!

[@Calcworkshop]

Hi Vanessa, so glad you enjoyed the video!

[@mido97magdy]

perfect, thanks a lot for spreading your knowledge, you're doing a great job, keep it up :)

[@Calcworkshop]

+milidos stuff - Thanks a bunch!!

[@muskamelogbi4716]

Dear professeur, is optimisation calculus a part or an exception of infinitésimal calculus ?

[@KumaresanRamalingam]

Well explained.

[@jheremie4588]

Dude I thougt my other earbud got broke, nice video btw!

[@Ximenaj94]

Thank you so much! I love your videos

[@Calcworkshop]

Thanks so much!

[@math1932]

Great video.

[@Calcworkshop]

John Brasely :-)

[@stanleybustetter3688]

Now I get it. Thanks so much!

[@Calcworkshop]

you're so welcome!

[@himanchalsingh1135]

Nice explanation... Thank you

[@deluxecsgo3022]

great video!

[@wagnersantarosa3819]

Thanks a lot for the video!

[@Calcworkshop]

+Wagner Rosa Rockskillver You're Welcome!

[@sapphire1766]

this is so helpful thanks so much!

[@cathhaywood9446]

your brilliant, so enthusiastic.

[@Calcworkshop]

WOW - so humbled by your comments... :-)

[@lindarubio5211]

amazing! thank you for your three steps for optimization!

[@Calcworkshop]

Hey Linda Rubio - Your Welcome!! :)

[@joeyvico]

Great video again. I have one question. I understand why we have to set the derivative equal to zero to get the minimum, but what exactly does this mean? I can see that the derivative (the slope) would be a line parallel to the x axis and therefore the slope would be 0 and that is how far I can go to understand. Hope you understand my question. Thanks again Jenn

[@AniXDownLoe]

If the slop equals zero at that point it means that slop might be changing direction at that point. If it is that means it is either coming up from the left and down to the right in which case I'd be a max or it be coming down from the left and going up to the right which makes it a min. To find out which it is you take the second derivative at that point and if it is positive it's a min. If it is negative then it is a max.

[@anikamishra2727]

The first derivative rule tells us that when the firs derivative is equal to 0, there is a local maximum or minimum. Think of it like there either being a giant U like shape or an upside down shape. Imagine putting a dot on the bottom of the U, this is your minimum on a concave up part of the graph. If you were to flip that U upside down and put a dot on the top (Like a peak of a mountain, almost, except curved) that's your local maximum. You were so right in saying that the derivative line is parallel to the x-axis!! That's because if you draw a tangent line at either one of those 'dots' on the U/upside down U graphs, it would be parallel to the x-axis!! Hope you understood!

[@991J]

love, love, love this.

[@Calcworkshop]

:-)

[@991J]

i just subscribed for the month just for my finals next week. i will do the 6 month in January 2017 for calculus 2. your are awesome

[@schrodingerscat3912]

i learned my lesson taking calc over the summer too. I nearly blacked out during the final

[@damirdze]

Well done.

[@gaarvey]

thank you

[@jeanpierredaviau7478]

Hi, I am looking for a formula to calculate the lenght of a rope enrolled flat on a deck. Kind of spiral enrollment every boat lover have seen.

[@zackbowe2465]

In your first problem you solved, how do we know that the sum of the two variables will be a minimum not a maximum?

[@eduardorivera508]

Sorry if a reply to this doesn't matter anymore but: I think you just approach continuing from those answers as if you were trying to find intervals where the function increases and decreases. (Yknow like if you're working on a problem for curve sketching.)

[@AniXDownLoe]

You could take the second derivative at that point. If it is positive then it's a min. If negative it's a max.

[@jonathanflorentino8613]

great exercise.

[@AmritpalSingh-lw6ll]

veryy kool nice explanation

[@lydiamuriuki103]

I enjoyed it

[@nassamassouma230]

Do you know how to use a matlab code to solve complex optimization problems?

[@alexgeorge1028]

On your second example you said to find the perimeter the formula would be "P=2b+h". Shouldn't it be "2b+2h"? Would you mind explaining that for me as it didn't seem to be indicated it the question. Thanks.

[@alexgeorge1028]

***** cheers buddy. But where in the text does it mention that? Apologies for any inconvenience, just want to make sure.

[@CodeDemystified]

In the question it says that there is no fencing needed along the river. So go back to the part where she starts solving the problem and go to the last sentence of that long paragraph. It tells you right there that you don't need to worry about one of the sides.

[@Weldingstudent]

nobody said it was this easy!!! wow

[@walidghanem2808]

thank you very much

[@sthandisomtetwa8637]

how are we able to determine the domain?