Optimization - Calculus (KristaKingMath)
ฝัง
- เผยแพร่เมื่อ 4 มิ.ย. 2012
- ► My Applications of Derivatives course: www.kristakingmath.com/applic...
Understand one of the hardest and most common applications of derivatives, optimization and it's applications.
Review the open topped box example to get a better grasp on applied optimization.
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If you could use some extra help with your math class, then check out Krista’s website // www.kristakingmath.com
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Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)
Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”
So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student-from basic middle school classes to advanced college calculus-figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here: www.kristakingmath.com
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jesus christ. Thanks so much for this. I understood more in 9 minutes than in 2 hours.
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!
Saving time and confusion, that's a win win! :) Glad I could help!
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!
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.
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 :)
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!
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 very helpful and made a lot more sense here than in class.
Great video Krista; an orderly approach to optimization!
This was so helpful! I lost all of my calculus notes for this chapter and you have saved my life!!!😂
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.
Thank you so much!
Saving my Final score right now, thank you so much.
+Nick Koch You're welcome, I'm so glad it helped!
+CalculusExpert.com Let me know if you need a boyfriend :)
+Nick Koch Dude, "It feels good to be a gangster."
Smooth, too bad she never answered lol
Very helpful video, it helped me fill in the the minor details. Thanks!
you're welcome, that's awesome! i'm so glad it made sense! :D
She looks like my 1year College Math Lecturer. Respect and thank you for you time Miss King.
Oh my GOODNESS! This was 2012 - 10 years ago. I THANK YOU SO MUCH FOR THIS!!!!
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.
The explanation is clear for me. Thank you so much!
You're welcome! Glad you liked it! :)
this was complicated and messy .. you make it easy :) thank u
Glad I could help simplify it! :)
i would LOVE to move to New Zealand!! I've always wanted to visit! :) for now though, i hope the videos keep helping!! :D
Krista you're amazing !! Thank you !
Aw thanks! Glad I could help. :)
you're welcome, i'm glad it helped! and thanks for the feedback about the text of the question... that helps! :D
This channel is spectacular! SO helpful!:)
Awww! That's awesome! Thank you!! :D
Awesome video! Thanks your help
You're welcome, Michael, I'm so glad it helped! :D
You're welcome! I'm so glad I can help! :)
Thank you so much! You really helped me a lot.
I'm so glad I can help!
Thanks for the good suggestion... I'm so glad you like the videos! :)
this is what I have been looking for, thank
th-cam.com/video/XQIbn27dOjE/w-d-xo.html 💐💐
your method is very clear
Explanation of Calculus benefits those that truly know calculus, Thanks
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].
You were so good at explaining the concept and the process! You're really pretty too.
You're welcome! Thanks for the comment. :)
I'm mesmerized by your eyes. Instant love for mathematics.
That's so awesome! Thanks for the letting me know. :)
That was really interesting Krista :)
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. =)
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...?
Thank you, based math-lady.
Thanks! These surface area ones always drive me nuts, but luckily you've saved me for my calc final in 7 hours lol
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! :)
Great explanation
Thanks!
Thank you for this great video!!
you're welcome, i'm glad you liked it!! :D
You are a lifesaver! thanks!
You too! Thanks for the comment. :)
So glad I could help! :)
Thank You Very Much!! the video helped me so much in preparation for my Electrical Engineering board exams this September 2016. :D
You're welcome, I'm glad I could help! Good luck on your exams this fall, I hope they go great!
thanks. I'll inform you if i pass the exams :D
That would be great, I'd love to hear how you do!
I don't have whats app, sorry about that!
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.
i am in love with your videos😍😍😍😍
got a test tomorrow and your video just saved me... thanks!
thank you so much
Thank you, you’re my favorite ✅✅✅✅✅
Awww, thanks Feza!
Feza Mto trujkpwads
wow this was the best explanation ever
Awesome! Thanks for letting me know. :)
Glad you liked it!
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! :)
Great lectures. Can you point me to a repository of optimization questions so I can practice? Thanks!
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! :)
Thank you for the laesons yo help me a lot ❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤
ur amazing! passed my calc final bc of u thank uuu
just in time for my AP Calc midterm
Thank you so much for making this, i figured out related rates, but this just escaped me
Thank you
th-cam.com/video/XQIbn27dOjE/w-d-xo.html 💐💐
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
Thanks for your help
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!
I'm so glad they've been helpful! Afternoon classes are the toughest!
you are better than my calc teacher! Be my teacher!! :)
got a test tomorrow on this, but I understand now! thanks!
in the first example did you plug in f(2) because it was a critical point?
Final on Thursday. Thanks for helping. :)
You're welcome! Good luck on the final!!
this helped alot thanks!!!
Yay! Thanks for letting me know. :)
where does the 6 come from in the initial optimization equation? because there are 6 sides?
Great. Thanks
we can use bisection or newton method to find the roots of the function.
How do you go from 4x-2916/x^2 to 4x(1-729/x^3)
i was confused at this point too, but after looking closely, she had to factor out 4x to get [1 - (729/x^3)]
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?
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?
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?
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
+Mexak A Sorry for the confusion! I'm referring to the integrals overview video which you can find here: th-cam.com/video/RjLkuYtxCrc/w-d-xo.html
+CalculusExpert.com Thank you! Appreciate that you took your time answering :)
Hi, in the first example, for the right endpoint, I was unsure of why you plugged in 2.
Thank you.
Dear professeur may l ask you a question is optimisation a part or an exception of infinitésimal calculus ?
Thanks!
ur just gorgeous !! plus u helped me a lot to be prepared for my test tomorrow.. Big thanx
It is very helpful thank you
You're welcome, I'm so glad it helped!
(2916/x^2) == (2916x^-2). Factoring means you subtract from what you have. Take out a 4x and you have just what she said.
You've got this! :)
Ohh okay, now I got it. Thankss! You're a great teacher btw. Keep it upp :D (Y)
I wish you were my calc teacher, maybe i'd actually learn something haha. thanks for the help!
that was perfect .... love u :)
THANK YOU SO MUCH
how come you used a different right endpoint at 4:03 as opposed to the one you plugged into the derivate?
Awesome!
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)
You are right bro!!!!!!!!! she is amazing man!!!
Thank you so MUCH !!! :)
You're welcome! :)
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". :)
Good evening and thank you ma for delineating optimization to me.
Well said.
Bummer! I wish I could have helped you earlier, but like you said, hopefully others will still benefit in some way. :)
I want to say that you are a great teacher and beautiful as well!