Optimization with Calculus 1

You have like the sexiest voice ever. And that voice saves millions of lives! Thank you!😍😍😍😍😍😆😆😆😆

I have to relearn this for a class after I already finished differential equations and thus give this video the 1000th like!

Here is a quick note, there are actually 4 answers! Real:+4, -4 AND complex: 4i, -4i. (power 4 indicates there must be 4 solutions)

Where did the 2x come from where he first introduces S prime?

Awesome

NOT AS GOOD! PLZ STOP MESSING UP SO MUCH I RECOMMEND PATRICKJMT

Omg this video is the best

I have a calc final tomorrow and I'm p sure this video is the only reason I'll be able to graduate thanks for my life

Saving electronic ink. Ha ha

Well Sal, i understand that you have a 10 minute capacity but that's actually the cap before you're allowed to enable advertisements on your videos. It would be good to profit yourself as well as others by teaching and making ad revenue.

While I love Khan the older videos really need a remake the 240p resolution is super hard to look at as well as read.

Isnt x and y always equal to sqroot of the product?

Can someone explain to me when he raised both sides to the 1/3 , 2x^1/3 ended up being 2x^4?

Ur hand writing is sloppy

I was sick during the optimization unit, my test is in two days, and my final is in a week. Bless you.

“Save my electronic ink” 😂

takin it way back with this one

Im taking AP Calculus BC as a junior in high school and this helped me so much, ty 👍

you never let me down ty

U also have to find the domain?

Doing gods work😭🤞🏽

This is the OG Kahn Academy... look at the quality lol

The video is really good but dont u think that this problem could be solve is a shorter and easier way

whos watching in 2020?

Isn't there another minimum in x = -4? The result in the 2nd derivative is the same than for x = 4.

Wait, if -4 for x is also a solution, then the second derivative is a complex number? Or am I just confused?

This is the most sass I have heard Sal have lmaooo that intro

this video is from exactly 12 years ago. Still relevant and saved me a bunch of struggling.

You aren't prepare yourself to this presentation.

Around 4 min how or why did you get x–³ from? I get the 2x+(256) (-2) but the x-³ negative 3 thing is confusing me.. thanks ahead of time for the response.

who else is watching this an hour before the exam?

wooohoo

this video is still useful to this day
thankyou

Over a decade later and these videos are still being used

Thank you, now i won't fail my finals

I just wish that the videos were in focus.

Oops.

Tip: Watch Sal Khan's videos in 1.5x speed always.

Sheesh, this an OG khan vid

i am a senior in high school now in my final weeks before graduation. Thank you so much Mr. Khan for all you have done for me over the last few years of high school. Your videos have helped me better understand so many concepts in math, and I'm sure it has helped many, many others as well. thank you so much.

I always graph these once I find the equation, it helps me to visualize what's going on and expedite my understanding

It's crazy that this video was uploaded almost fifteen years ago. Thanks for your continued commitment to assisting those who struggle with these concepts!

Very helpful stuff for the machine learning students

thx gang

saving grades 16 years later...

Hi Mr Khan. Thanks for your videos. I have a little question. Could implicit differentiation have worked here?