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

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

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!

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

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

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

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

Great video Krista; an orderly approach to optimization!

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

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

So glad I could help! :)

I'm so glad I can help!

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

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

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

5 жыл бұрын

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.

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

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

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 :)

Awesome! Thanks for letting me know. :)

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

this is what I have been looking for, thank

@beoptimistic5853

3 жыл бұрын

kzread.info/dash/bejne/ioV9xNBrZ8e1mqg.html 💐💐

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

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

You are a lifesaver! thanks!

wow this was the best explanation ever

That was really interesting Krista :)

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

Awesome video! Thanks your help

@kristakingmath

4 жыл бұрын

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

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

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!

This channel is spectacular! SO helpful!:)

@kristakingmath

10 жыл бұрын

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

your method is very clear

You too! Thanks for the comment. :)

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

@kristakingmath

8 жыл бұрын

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

@nickkoch7077

8 жыл бұрын

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

@Mahmood367

8 жыл бұрын

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

@Consolous

7 жыл бұрын

Smooth, too bad she never answered lol

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.

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].

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

9 жыл бұрын

Thank you so much!

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...?

Explanation of Calculus benefits those that truly know calculus, Thanks

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

@kristakingmath

10 жыл бұрын

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

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

Krista you're amazing !! Thank you !

@kristakingmath

7 жыл бұрын

Aw thanks! Glad I could help. :)

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

@kristakingmath

10 жыл бұрын

Glad I could help simplify it! :)

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

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

Glad you liked it!

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

i am in love with your videos😍😍😍😍

Thank you, based math-lady.

Thank you for this great video!!

@kristakingmath

10 жыл бұрын

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

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

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! :)

Hi! I'm sure this is a simple answer but I'm confused at 4:19 how you went from your right endpoint being 1 to then being 2? Why is that?

that was perfect .... love u :)

this helped alot thanks!!!

@kristakingmath

10 жыл бұрын

Yay! Thanks for letting me know. :)

You've got this! :)

cool , you guys just saved my life

Glad it helped. :D

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

i have basically this question (except there are no constraints on dimension) but the other constraint they put is that the box is 2cm cubic centimeters thick....where would i add in this 2cm into the equation? I agree with others and how setting up is usually the hardest part

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

Thanks for your help

Was it possible that at the end of the video the 9 was a local maximum? and if so, then what it would have mean since we are looking for the lowest value of x?

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

Awesome!

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

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. =)

Wooo last minute studying for calc final tomorrow

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

In calculating maxima and minima for y=x³+x²-x+1 I used 1 as the right endpoint and got 2 which is the same y value as critical point -1. How do you decide which is the local and which is the global maximum in a case like that?

where does the 6 come from in the initial optimization equation? because there are 6 sides?

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

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! :)

Dear professeur may l ask you a question is optimisation a part or an exception of infinitésimal calculus ?

Great explanation

@kristakingmath

5 жыл бұрын

Thanks!

Thanks!

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

thank you so much

Dear , I can't understand one optimization problem written at a journal. may u plz help me. then i will send u the journal link

Thank you for the laesons yo help me a lot ❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤

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

THANK YOU SO MUCH

Ohh okay, now I got it. Thankss! You're a great teacher btw. Keep it upp :D (Y)

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

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

@jenniferl6212

9 жыл бұрын

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

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! :)

just in time for my AP Calc midterm

Thank you.

Will do! :)

Thank you so MUCH !!! :)

@kristakingmath

10 жыл бұрын

You're welcome! :)

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

Hello Krista! Why x=9 is not a 'Global' minima?

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". :)

You're welcome!! :)

Final on Thursday. Thanks for helping. :)

@kristakingmath

9 жыл бұрын

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

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

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.

how come you used a different right endpoint at 4:03 as opposed to the one you plugged into the derivate?

It is very helpful thank you

@kristakingmath

8 жыл бұрын

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

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