Optimization - Calculus (KristaKingMath)

[@losoggyspaghetti]

jesus christ. Thanks so much for this. I understood more in 9 minutes than in 2 hours.

[@mrzach98]

People like you are saving Calculus grades 1 video at a time. Saves me a weeks worth of confusing lectures in ten minutes. Thank You!

[@kaylawagner3295]

This was so, so helpful! Not just because of your clear explanation, but because of your calm and understanding tone. I know it sounds dumb, but I felt less pressured to rush through concepts and was actually motivated to understand each step. Thank you!

[@kristakingmath]

Awww, that makes me so happy, Kayla! Math shouldn't be scary... we should just be able to hang out and work on it at our own pace, just tackling each little piece as we get to it. I want my videos to feel peaceful like that.

[@nickkoch7077]

Saving my Final score right now, thank you so much.

[@kristakingmath]

+Nick Koch You're welcome, I'm so glad it helped!

[@nickkoch7077]

+CalculusExpert.com Let me know if you need a boyfriend :)

[@Mahmood367]

+Nick Koch Dude, "It feels good to be a gangster."

[@Consolous]

Smooth, too bad she never answered lol

[@TheJustinGreen]

Oh my GOODNESS! This was 2012 - 10 years ago. I THANK YOU SO MUCH FOR THIS!!!!

[@kristakingmath]

Saving time and confusion, that's a win win! :) Glad I could help!

[@PhilShnider]

She looks like my 1year College Math Lecturer. Respect and thank you for you time Miss King.

[@kristakingmath]

you're welcome, that's awesome! i'm so glad it made sense! :D

[@DreamsConsumeReality]

You just taught me this in roughly 5 minutes skipping over what I knew. I'm SITTING in my Calc class with my foreign teacher and haven't learned crap. Thank You

[@kristakingmath]

i would LOVE to move to New Zealand!! I've always wanted to visit! :) for now though, i hope the videos keep helping!! :D

[@dchurch2012]

Another great video! One comment on optimization problems found in textbooks: Setting up the equation to optimize is sometimes the hardest part, and the books frequently do a poor job explaining the "setup". I ran across a Revenue optimization problem that was a little confusing as to where the p(x) (i.e. the specific equation that expressed p(x)) came from; But you've done a great job of setting everything up in this demo! Thank you again.

[@kristakingmath]

Thank you so much!

[@Boomeus]

Thank you, based math-lady.

[@kristakingmath]

You're welcome! I'm so glad I can help! :)

[@ymaramagloire2529]

This was very helpful and made a lot more sense here than in class.

[@CharlesJacksonBey]

Explanation of Calculus benefits those that truly know calculus, Thanks

[@kristakingmath]

Each of those terms is the area of one side. For example, the width is x and the height is h, so the area of one side is xh. Hope that helps! :)

[@kristakingmath]

if the y-value for both endpoints is equal, then you have to call both of them local maxima. only if there is just one point that is higher than any other can you call it a global maximum. hope that helps! :)

[@rusticagenerica]

I'm mesmerized by your eyes. Instant love for mathematics.

[@satnamo]

On [-2,2], the function attains its maximum value at x=2, i.e., f(2)=11 is the maximum value of the function on the closed interval [-2,2].

[@vampireMido95]

this was complicated and messy .. you make it easy :) thank u

[@kristakingmath]

Glad I could help simplify it! :)

[@kristakingmath]

Bummer! I wish I could have helped you earlier, but like you said, hopefully others will still benefit in some way. :)

[@TheRatesMusic]

I found the applied example really helpful. For me it helps to see the equations "do something". Like watching a machine run helps you understand what its parts do, if that makes any sense.

[@UknowthenamE16]

This was so helpful! I lost all of my calculus notes for this chapter and you have saved my life!!!😂

[@kristakingmath]

you're welcome, i'm glad it helped! and thanks for the feedback about the text of the question... that helps! :D

[@kristakingmath]

I only plugged them in for x. Remember that the left-hand side of the equation is y(x), so when I plugged them in it looked like y(-2). On the right-hand side, I plugged them in wherever I had an x variable. Therefore, the result for each point was something like y=-1. Hope that helps! :)

[@kristakingmath]

Thanks for the good suggestion... I'm so glad you like the videos! :)

[@clefairyy]

this would've been so helpful in calc 1 last semester... oh well! i'm glad other students will be able to benefit from your videos though, you explain these concepts very well. thank you for sharing your knowledge with the youtube community :)

[@thevillage805]

got a test tomorrow and your video just saved me... thanks!

[@kristakingmath]

I'm so glad I can help!

[@kristakingmath]

So glad I could help! :)

[@kristakingmath]

because the function as it's largest value in the interval at x=2. we want to know what the value is there, so that we can say "the global maximum is 11 at x=2". :)

[@nertin123]

you are better than my calc teacher! Be my teacher!! :) got a test tomorrow on this, but I understand now! thanks!

[@adiflorense1477]

this is what I have been looking for, thank

[@beoptimistic5853]

kzbin.info/www/bejne/joKsk6FobMmCoKc 💐💐

[@hanhnguyenthihong5543]

The explanation is clear for me. Thank you so much!

[@kristakingmath]

You're welcome! Glad you liked it! :)

[@skeet441]

Great explanation

[@kristakingmath]

Thanks!

[@ayushgupta621]

Please don't stop making videos.. I am gonna check when I will start earning

[@mariofizz13]

Thanks! These surface area ones always drive me nuts, but luckily you've saved me for my calc final in 7 hours lol

[@kristakingmath]

I factored out a 4x. If you multiply 4x by the factor (1-729/x^3), the result will be the previous step. :)

[@raulmontez2010]

Thank You Very Much!! the video helped me so much in preparation for my Electrical Engineering board exams this September 2016. :D

[@kristakingmath]

You're welcome, I'm glad I could help! Good luck on your exams this fall, I hope they go great!

[@raulmontez2010]

thanks. I'll inform you if i pass the exams :D

[@kristakingmath]

That would be great, I'd love to hear how you do!

[@kristakingmath]

I don't have whats app, sorry about that!

[@OxLaBelleViexO]

This video really helped :) I was really confused in class when we were doing this, but now I actually get the concept of it and what to look for in the problem. But, like somebody else said, I think it would be a good idea to have text of the problem on the screen so that we can read it while your saying it, or even copy it down. Thanks for the help!

[@Andr295]

Very nice video. I love the instructor, too. You sound very nice and confident. One suggestion, though, it might help us visualize the problem if you present it in written form at the same time you're saying. I love your videos, though.

[@AyodeleKayode-nb9kz]

Good evening and thank you ma for delineating optimization to me.

[@masteremthembu7830]

wow this was the best explanation ever

[@Jesse97jwl]

Krista you're amazing !! Thank you !

[@kristakingmath]

Aw thanks! Glad I could help. :)

[@personc4638]

Thank you thank you THANK YOU for these videos! The thing that sucks about my calculus class is that it's near the end of the day, and I'm so exhausted by the time I get to that class, so it's almost impossible for me to pay attention (if only my school would sell iced coffee, or allow students to leave the school and come back, at least...) .I focus all of my energy in just trying to stay awake :( But these videos really save me!

[@kristakingmath]

I'm so glad they've been helpful! Afternoon classes are the toughest!

[@SidneyGutteridge]

Thank you so much for making this, i figured out related rates, but this just escaped me

[@kristakingmath]

Glad you liked it!

[@independantpeace9559]

Thank you! Oh, at 3:23 in the video Y prime of zero has a 2*6 but I believe it's 2*0. Just a friendly note. =)

[@buckeylaslo5121]

Very helpful video, it helped me fill in the the minor details. Thanks!

[@vikramwaradpande5059]

The world seems so easy to live in now! Thanks! :D

[@kristakingmath]

I hope you're able to get back in and take it! :)

[@neil.vezeau]

You were so good at explaining the concept and the process! You're really pretty too.

[@kristakingmath]

I have a lot of worked examples on my website. :)

[@kristakingmath]

you're welcome! hopefully i can be your calc teacher on youtube!! :D

[@GG69355]

This channel is spectacular! SO helpful!:)

[@kristakingmath]

Awww! That's awesome! Thank you!! :D

[@connor8094]

I wish you were my calc teacher, maybe i'd actually learn something haha. thanks for the help!

[@tichinacarmon2074]

How do you go from 4x-2916/x^2 to 4x(1-729/x^3)

[@jenniferl6212]

i was confused at this point too, but after looking closely, she had to factor out 4x to get [1 - (729/x^3)]

[@PYROxFUSION]

Awesome video! Thanks your help

[@kristakingmath]

You're welcome, Michael, I'm so glad it helped! :D

[@kristakingmath]

Awesome! Thanks for letting me know. :)

[@Heislegend5]

ur amazing! passed my calc final bc of u thank uuu

[@kristakingmath]

You too! Thanks for the comment. :)

[@RogerKlauser]

Final on Thursday. Thanks for helping. :)

[@kristakingmath]

You're welcome! Good luck on the final!!

[@KarasuHebun]

Wooo last minute studying for calc final tomorrow

[@prakashchaudhary4559]

your method is very clear

[@kristakingmath]

That's so awesome! Thanks for the letting me know. :)

[@kristakingmath]

You're welcome! Thanks for the comment. :)

[@LoveeTatum]

You are a lifesaver! thanks!

[@azawee90]

ur just gorgeous !! plus u helped me a lot to be prepared for my test tomorrow.. Big thanx

[@chatdiscord6047]

i am in love with your videos😍😍😍😍

[@Jacob-pz4ku]

my only problem is whenever the problems aren’t that simple. my teacher gave this problem Shakira is 5 miles off shore in a boat trying to escape a band of pirates! She wishes to reach a point on the coast 6 miles down shore where there is safety. She can row at 2 mph and walk at 4 mph. Where should she land the boat to reach down shore as quickly as possible I understand we are minimizing town but how tf am I supposed to know what the equation for time is when we never practice that. I’ve had an A all year and optimization is the only thing I don’t understand. My teacher makes it sound like common sense but that’s because she already knows how to solve it My teacher also said going straight down makes no sense so she didn’t solve for that but why doesn’t it if it’s twice as slow to row

[@jesusjesus2577]

This the new wave, get a hottie, intelligent lady to explain maths on KZbin. Profit.

[@투루-l3e]

dont be creepy

[@ahmadtahan500]

ur explanation is simply de best ive seen till now ! but I don't really get from where u got de eqn 4x(1- 729/x3)

[@govou3000]

You are right bro!!!!!!!!! she is amazing man!!!

[@timshady237]

just in time for my AP Calc midterm

[@brogrammer6]

Thanks to you I passed my calc class!!!!!!!! Just wanted to come back and say you're amazing, and damn cute. Thanks for everything girl

[@kristakingmath]

Thanks!

[@polvin2487]

I want to say that you are a great teacher and beautiful as well!

[@kristakingmath]

Awesome!

[@kristakingmath]

You're welcome!! :)

[@fezamto940]

Thank you, you’re my favorite ✅✅✅✅✅

[@kristakingmath]

Awww, thanks Feza!

[@neengputri6884]

Feza Mto trujkpwads

[@kristakingmath]

Glad it helped. :D

[@elenagaridis9392]

Thank you for this great video!!

[@kristakingmath]

you're welcome, i'm glad you liked it!! :D

[@gabunir]

Thanks for posting this video! I was wondering though for the open box optimization problem... Does that mean you cannot find the maximum SA? With x=9 as the min and x=0 thrown out because it's a distance...?

[@Mmssaaii]

Hi Krista! Thank you so much for these videos! I have a question; you say that "next time we are going to talk about integrals" do you refer to the remaining videos on this playlist, or another playlist? Because the remaining videos here are mostly about Optimization.. Xo

[@kristakingmath]

+Mexak A Sorry for the confusion! I'm referring to the integrals overview video which you can find here: kzbin.info/www/bejne/iJuvnKiPqd12qMU

[@Mmssaaii]

+CalculusExpert.com Thank you! Appreciate that you took your time answering :)

[@Moh20ish]

That was really interesting Krista :)

[@kristakingmath]

Good luck! :)

[@nikhiMD]

I think 22 people mistook the unlike button for the like button. You're amazing, so keep doing what you're doing~ Btw, do you have heterochromia? Cause your eyes look amazing! Love, a sophomore in high school ;)

[@kristakingmath]

you're very sweet. :) good luck on your test!!! :D

[@Darhyun]

Thank you so much! You really helped me a lot.

[@kristakingmath]

I hope it went well!!! :)

[@kristakingmath]

You've got this! :)

[@SeraphimKidd]

I must say that I love your videos. They're always helpful. I used to be terrible at math but ended end going from pre algebra to calc in a year! You are living proof that beauty and brains can go together! (I already believed they could go together btw. Lol)

[@kristakingmath]

Thanks Ryan! And congrats on getting control of math, I'm so impressed with your improvement in such a short period of time! Keep up the good work! :D

[@SergioMouraJr]

Great lectures. Can you point me to a repository of optimization questions so I can practice? Thanks!

[@santos131131]

(2916/x^2) == (2916x^-2). Factoring means you subtract from what you have. Take out a 4x and you have just what she said.

[@MsReegee]

Hi, in the first example, for the right endpoint, I was unsure of why you plugged in 2.

[@lostchild]

cool , you guys just saved my life

[@Ian-Threaded]

fantastic video however, not what you do to get from A'=4x-2916/x^2 to 4x(1-729/x^3) 8:02 into the video

[@Sam-js2xw]

Ian F Hi, She just factored out 4x from the parenthesis (aka Brackets in some countries). When She factored out the 4x, she had to divide 1/4x to 4x and 2916/x^2. When she divided the 1/4x to the expression, the values turned to 4x(1- 2916/4x^3). She then simplified the 2916/4 to 729 and thus she got 4x(1-729/x^3) Sorry if I used the wrong terms.

[@ivancastro365]

in the first example did you plug in f(2) because it was a critical point?

[@anasforum7101]

You forgot a term in the expression of the surface, the surface of the box is : A = xh + xh + 2xh + 2xh + 2x^2 + 2x^2

[@kristakingmath]

you're welcome! :)