Optimization Calculus 1 - 2 Problems

Calculus Optimization Problems: 3 Simple Steps to Solve All
Step 1: Get Two Equations
Step 2: Plug One Equation into the Other & Simplify
Step 3: Take the Derivative of this New Equation and Set Equal to Zero & Solve
That's it - Done - Happy Day! ;-)
This video contains a lesson and 2 step by step examples.
Example 1: Optimization Overview (product and sum of 2 numbers)
Example 2: Optimize the area of a pen for a dairy farmer
More Optimization Examples at Calcworkshop.com
1 - Optimize the area of a geometric shape (rectangle)
2 - Optimize the volume of a geometric shape (box)
3 - Optimize the area of a corral for a rancher
4 - Optimize the shortest distance between two points and a curve
5 - Optimize the area of text on a page
For more lessons and step-by-step examples on all topics in Calculus
Calcworkshop.com
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Пікірлер: 190

  • @thecircle8086
    @thecircle80868 жыл бұрын

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

  • @CoDRagna

    @CoDRagna

    8 жыл бұрын

    +The Circle got scared thouught my right earbud broke haha

  • @azizelbasheir3106
    @azizelbasheir31068 жыл бұрын

    Excellent explanation. Made a seemingly impossible concept extremely understandable.

  • @Calcworkshop

    @Calcworkshop

    8 жыл бұрын

    +Aziz Elbasheir :)

  • @LwaziNzimande
    @LwaziNzimande8 жыл бұрын

    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

    @Bunk_Moreland

    7 жыл бұрын

    no kidding!

  • @R10Swag
    @R10Swag9 жыл бұрын

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

  • @ryterinc3442
    @ryterinc34428 жыл бұрын

    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

    @Calcworkshop

    8 жыл бұрын

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

  • @haninyaghmour3125
    @haninyaghmour31255 жыл бұрын

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

  • @kris061000
    @kris0610007 жыл бұрын

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

  • @asdhaslf
    @asdhaslf9 жыл бұрын

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

  • @robmoore8393
    @robmoore83938 жыл бұрын

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

  • @DavidHillJunior
    @DavidHillJunior6 жыл бұрын

    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!

  • @eugenepeprah8825
    @eugenepeprah88255 жыл бұрын

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

  • @mayamaya9162
    @mayamaya91628 жыл бұрын

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

  • @fahriathar
    @fahriathar9 жыл бұрын

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

  • @ericfeng1887
    @ericfeng18878 жыл бұрын

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

  • @Thuchainz
    @Thuchainz2 жыл бұрын

    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!

  • @dakwrx3766
    @dakwrx37666 жыл бұрын

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

  • @colombiacrack88
    @colombiacrack889 жыл бұрын

    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

    @Calcworkshop

    9 жыл бұрын

    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. :)

  • @evellydayane2805
    @evellydayane28052 жыл бұрын

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

  • @good-tn9sr
    @good-tn9sr3 жыл бұрын

    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 🙏🏾

  • @milliepards96
    @milliepards968 жыл бұрын

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

  • @nelsongonzalez7463
    @nelsongonzalez74635 жыл бұрын

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

  • @Calcworkshop

    @Calcworkshop

    5 жыл бұрын

    You're welcome Nelson!

  • @jungpreylem7343
    @jungpreylem73437 жыл бұрын

    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.

  • @bellasima1101
    @bellasima11012 жыл бұрын

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

  • @datsmydab-minecraft-and-mo5666
    @datsmydab-minecraft-and-mo56664 жыл бұрын

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

  • @musam.f.kouma-deitokromah2620
    @musam.f.kouma-deitokromah26209 жыл бұрын

    Thanks for the crystal clear explanation of Optimization.

  • @Calcworkshop

    @Calcworkshop

    9 жыл бұрын

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

  • @jessicaloudenburg7521
    @jessicaloudenburg75217 жыл бұрын

    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

    @Calcworkshop

    7 жыл бұрын

    Thanks Jessica!

  • @chrisp2639
    @chrisp2639 Жыл бұрын

    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! 🤞

  • @francoisdutoit6758
    @francoisdutoit67584 жыл бұрын

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

  • @a-mirrorvlogs5519
    @a-mirrorvlogs55196 жыл бұрын

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

  • @Calcworkshop

    @Calcworkshop

    6 жыл бұрын

    you're welcome!

  • @xst9880
    @xst9880 Жыл бұрын

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

  • @bmun9613
    @bmun96136 жыл бұрын

    Thank you! This was so much help

  • @adanhammudi1509
    @adanhammudi15095 жыл бұрын

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

  • @Fiker_y
    @Fiker_y3 жыл бұрын

    Your such a life saver the way you reached was so easy to understand

  • @ElkePoN
    @ElkePoN8 жыл бұрын

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

  • @Calcworkshop

    @Calcworkshop

    8 жыл бұрын

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

  • @yamiletvallejohinojosa4563
    @yamiletvallejohinojosa45632 жыл бұрын

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

  • @Backflipmarine
    @Backflipmarine5 жыл бұрын

    Thanks for making this into a short video! :)

  • @glennangeloquidasol7995
    @glennangeloquidasol79955 жыл бұрын

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

  • @fayrafarinna5895
    @fayrafarinna58959 жыл бұрын

    thank you so much!

  • @sarahheinz
    @sarahheinz7 жыл бұрын

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

  • @RodesLaw
    @RodesLaw9 жыл бұрын

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

  • @Calcworkshop

    @Calcworkshop

    9 жыл бұрын

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

  • @efilata7854
    @efilata78547 жыл бұрын

    Thank you so much. It really helped.

  • @ivetteamador9122
    @ivetteamador91227 жыл бұрын

    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

    @Calcworkshop

    7 жыл бұрын

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

  • @gladlynalagon8771
    @gladlynalagon87714 жыл бұрын

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

  • @josphellihsilak4588
    @josphellihsilak45885 жыл бұрын

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

  • @PYROxFUSION
    @PYROxFUSION4 жыл бұрын

    Great video, my left lobe can optimize anything now!

  • @sapphire1766
    @sapphire17667 жыл бұрын

    this is so helpful thanks so much!

  • @arnoldnoriega9523
    @arnoldnoriega95238 жыл бұрын

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

  • @Calcworkshop

    @Calcworkshop

    8 жыл бұрын

    +ARNOLD NORIEGA :)

  • @malaypatel4452
    @malaypatel44527 жыл бұрын

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

  • @Calcworkshop

    @Calcworkshop

    7 жыл бұрын

    You're welcome!

  • @GrabMyLemonsAndCallMeDaddy
    @GrabMyLemonsAndCallMeDaddy7 жыл бұрын

    OMG THIS IS TOTES GONNA HELP ME PASS MY MIDTERMS TOMORROW THANK YOU

  • @bradingram7727
    @bradingram77278 жыл бұрын

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

  • @Calcworkshop

    @Calcworkshop

    8 жыл бұрын

    +Brad Ingram - Rock ON!

  • @samanthaturner8241
    @samanthaturner82417 жыл бұрын

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

  • @notyatypicalchick
    @notyatypicalchick8 жыл бұрын

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

  • @Calcworkshop

    @Calcworkshop

    8 жыл бұрын

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

  • @xbeautybelle
    @xbeautybelle8 жыл бұрын

    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

    @Calcworkshop

    8 жыл бұрын

    +Nicole Michelle You're welcome!

  • @vanessamaerere9006
    @vanessamaerere90067 жыл бұрын

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

  • @Calcworkshop

    @Calcworkshop

    7 жыл бұрын

    Hi Vanessa, so glad you enjoyed the video!

  • @guidofeliz8384
    @guidofeliz83845 жыл бұрын

    A great calculus teacher!

  • @wagnersantarosa3819
    @wagnersantarosa38198 жыл бұрын

    Thanks a lot for the video!

  • @Calcworkshop

    @Calcworkshop

    8 жыл бұрын

    +Wagner Rosa Rockskillver You're Welcome!

  • @damirdze
    @damirdze3 жыл бұрын

    Well done.

  • @mido97magdy
    @mido97magdy8 жыл бұрын

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

  • @Calcworkshop

    @Calcworkshop

    8 жыл бұрын

    +milidos stuff - Thanks a bunch!!

  • @KumaresanRamalingam
    @KumaresanRamalingam6 жыл бұрын

    Well explained.

  • @AA-fb5fr
    @AA-fb5fr4 жыл бұрын

    thank you sooooooo much you saved my life

  • @Ximenaj94
    @Ximenaj947 жыл бұрын

    Thank you so much! I love your videos

  • @Calcworkshop

    @Calcworkshop

    7 жыл бұрын

    Thanks so much!

  • @Makeeup4ever
    @Makeeup4ever7 жыл бұрын

    Thank you so much!

  • @edersantos1735
    @edersantos17357 жыл бұрын

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

  • @Calcworkshop

    @Calcworkshop

    7 жыл бұрын

    Glad you enjoyed the video!

  • @stanleybustetter3688
    @stanleybustetter36886 жыл бұрын

    Now I get it. Thanks so much!

  • @Calcworkshop

    @Calcworkshop

    6 жыл бұрын

    you're so welcome!

  • @himanchalsingh1135
    @himanchalsingh11355 жыл бұрын

    Nice explanation... Thank you

  • @deluxecsgo3022
    @deluxecsgo30226 жыл бұрын

    great video!

  • @secondbelarus
    @secondbelarus7 жыл бұрын

    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

    @Calcworkshop

    7 жыл бұрын

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

  • @maifolau6996
    @maifolau69968 жыл бұрын

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

  • @Calcworkshop

    @Calcworkshop

    8 жыл бұрын

    +Ma'i Folau :)

  • @pockydust3404
    @pockydust34046 жыл бұрын

    None of her markers have caps

  • @biz_wiz_tech

    @biz_wiz_tech

    5 жыл бұрын

    lol

  • @_mk_2653

    @_mk_2653

    4 жыл бұрын

    😂😂

  • @walidghanem2808
    @walidghanem28088 жыл бұрын

    thank you very much

  • @billholt8746
    @billholt87469 жыл бұрын

    Excellent instruction. Thank you.

  • @Calcworkshop

    @Calcworkshop

    9 жыл бұрын

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

  • @warsameibrahim7260
    @warsameibrahim72607 жыл бұрын

    thanks you so much

  • @niz3814
    @niz38145 жыл бұрын

    The most amazing video on youtube

  • @surat8591
    @surat85916 жыл бұрын

    You are awesome!!

  • @syedazeem3740
    @syedazeem37407 жыл бұрын

    Best videos to help you with calculus all over youtube

  • @Calcworkshop

    @Calcworkshop

    7 жыл бұрын

    Thank you so much Syed!

  • @jonathanflorentino8613
    @jonathanflorentino86133 жыл бұрын

    great exercise.

  • @math1932
    @math19329 жыл бұрын

    Great video.

  • @Calcworkshop

    @Calcworkshop

    9 жыл бұрын

    John Brasely :-)

  • @Dash1326
    @Dash13265 жыл бұрын

    thank you

  • @jheremie4588
    @jheremie45886 жыл бұрын

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

  • @TheAdidaskicks23
    @TheAdidaskicks237 жыл бұрын

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

  • @justluigie
    @justluigie8 жыл бұрын

    lifesaver!!!

  • @lydiamuriuki103
    @lydiamuriuki1034 жыл бұрын

    I enjoyed it

  • @williamblake3795
    @williamblake37958 жыл бұрын

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

  • @AmritpalSingh-lw6ll
    @AmritpalSingh-lw6ll8 жыл бұрын

    veryy kool nice explanation

  • @schrodingerscat3912
    @schrodingerscat39128 жыл бұрын

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

  • @Calcworkshop

    @Calcworkshop

    8 жыл бұрын

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

  • @Sam-iq7rt
    @Sam-iq7rt9 жыл бұрын

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

  • @Sam-iq7rt

    @Sam-iq7rt

    9 жыл бұрын

    Subscribed :')

  • @Calcworkshop

    @Calcworkshop

    9 жыл бұрын

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

  • @Calcworkshop

    @Calcworkshop

    9 жыл бұрын

    Salma Almekhlafi :-)

  • @Sam-iq7rt

    @Sam-iq7rt

    9 жыл бұрын

    Calcworkshop.com - Calculus Videos You're most welcome

  • @misbahur-rehman9157
    @misbahur-rehman91577 жыл бұрын

    thanks to you i passed my finals :)

  • @Calcworkshop

    @Calcworkshop

    7 жыл бұрын

    That's great news!! Congratulations!

  • @cathhaywood9446
    @cathhaywood94468 жыл бұрын

    your brilliant, so enthusiastic.

  • @Calcworkshop

    @Calcworkshop

    8 жыл бұрын

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

  • @AR-ng4gr
    @AR-ng4gr8 жыл бұрын

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

  • @lilstanni6904
    @lilstanni690411 ай бұрын

    OMG i love ur vids

  • @julianc6551
    @julianc65516 жыл бұрын

    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.

  • @jamalahmedhussein1341
    @jamalahmedhussein13419 жыл бұрын

    Great !!!

  • @Calcworkshop

    @Calcworkshop

    9 жыл бұрын

    Jamal Ahmad :)

  • @retribution4341
    @retribution43416 жыл бұрын

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

  • @danielmogaswa5402
    @danielmogaswa54024 жыл бұрын

    you rock!!

  • @MustangNinjas
    @MustangNinjas7 жыл бұрын

    Really wish my teacher explained this as clearly as you do

  • @mickyle2541
    @mickyle25414 жыл бұрын

    Thank you ma'am :)

  • @metalks6008
    @metalks60086 жыл бұрын

    Awesom🙂

  • @rachaelcolucci9682
    @rachaelcolucci96826 жыл бұрын

    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?

  • @991J
    @991J8 жыл бұрын

    love, love, love this.

  • @Calcworkshop

    @Calcworkshop

    8 жыл бұрын

    :-)

  • @991J

    @991J

    8 жыл бұрын

    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

    @schrodingerscat3912

    8 жыл бұрын

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

  • @muskamelogbi4716
    @muskamelogbi47163 жыл бұрын

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