Optimization - Calculus (KristaKingMath)

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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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?!”

[losoggyspaghetti]

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

[kristakingmath]

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

[kaylawagner]

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]

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

[nickkoch]

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

[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! :)

[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

[mrzach]

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!

[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].

[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! :)

[dchurch]

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.

[PhilShnider]

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

[kristakingmath]

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

[kristakingmath]

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

[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]

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". :)

[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.

[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]

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

[TheJustinGreen]

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