I absolutely love how you repeat things twice. "As you can see the slope, the slope is negative, is negative." Makes this entire video better.

@adamahmadpour8036

5 жыл бұрын

its the exact opposite for me, i get annoyed watching these videos because he always repeats things. Like bro i got it

@NewWesternFront

Жыл бұрын

go get the papers get the papers

@RayyanKhanRayyanKhan

Жыл бұрын

@@NewWesternFront Sal Two Times

Wow I have been studying derivatives for over a month and didn't really understand what they were until I watched this video. The way you lined up the graphs made so much sense. I finally had that lightbulb moment and I can now say that I understand derivatives. Thank you thank you thank you!

you are doing great things in this world, teaching kids many things that certified teachers can't even teach us...keep doing what your doing khan :) !!

khan academy is a beautiful thing

concavity was a mystery for me but giving all the graphs like side by side really helped me to fully understand it. You are always goated man, never stop being a savior to all of us lost sheep

Greatly summarized all of the little things that I couldn't catch in my 50 minute lecture in under ten minutes... Amazing

WE’RE LEARNING KHANCAVITY ON KHAN ACADEMY

You are uploading these perfectly in sync with the topics that we are coveringin my AP Calc class! :D I LOVE YOU!!

I wish you were my calc professor

Concavity... more like Khan-cavity amirite?

Awesome man , idk what to tell !! Ur a god for self learning people ..Nice explanation good job

very concise explanation, thank you

What a God of math. Jeez, your brain is out of this world.

Simply what i needed....

JazakAllah khair 👍🏻

god bless this man

Beautiful teaching sir .nice.

I'm sure you can find the curriculum from various US universities by doing a search on the internet. I think the Khan lectures are mostly aimed at high school students in the US and across the world. He is a great teacher! I would like to build an army of Khans and send them to all corners of the world :)

Salman khan, you are a gift to us. Can you do more computer science video?

This video is a love.

Khan keep up the good work

Really useful

OMG Thank you so much.

math is beautiful

This is very entertaining :) But I've got a question, is this taught at US universities?

Thank you

I love khan academy 💕

Great 👍

@صطفىالعبيدي‎ It's taught in Canadian high schools, probably the same in the US

Thanks

Didn't knew even being positive slove can decrease....thanks..

It's KHANcavity!!!! Thanks Sal for your wonderful videos.....

OHHH YEAHHHHHHHHHHH

wow you solve my 2 days problem in 10 min

this is giving me 2011 glow bowling vibes

concave upwards is the same as convex right?

ANYONE SEEING THIS PLS HELP THIS IS URGENT say i'm approximating an area under curve (area between the curve and the x-axis, bounded by, say x=1 and x=10) using trapezoidal rule when the curve is concave upwards (2nd derivative is +ve), the area is over-estimated right? but what if the curve is below the x-axis when eg 1

Does concave up is same as convex?

Concave upwards is the same thing as convex, right?

How come does the slope decrease while the graph is going to a relative maximum point, and the slope still decreases after it went through the rel max point? 4:09

@zy8753

3 жыл бұрын

That part confuses me too and I feel holds me back from entirely grasping what he explained and shown so well, but the closest I can get to "getting" it is that the tangent lines if drawn on the f(x) graph lie ABOVE the graph. You probably already get it, but that's my interpretation (for now), until I really get why that is what it is.

@MikeWilliams-ej3du

3 жыл бұрын

The curve is getting less and less steep in the upwards direction (decreasing slope) as it approaches it's relative maximum and then after reaching the rel. Max. it starts to become increasingly steep in the downwards direction (decreasing slope) hence the decreasing slope until it reaches the point of inflection where the 2nd derivative becomes positive and the curve becomes concave up

"Concativity" :)

5:38 derivative derivative derivative what

❤❤

SAL KHAN sounds like SHROUD

how did u get the 2nd derivative ??

@PoesiaCosmica

9 жыл бұрын

by differentiating the first derivative :)

I Aint Going To [Prizm]..! Lol

I luv u

isn't "concave downwords"is called "convex"?

@uzair3690

4 жыл бұрын

Convex upwards

@iranjackheelson

3 жыл бұрын

So did you figure out in the past 7 years whether "concave downwards" = "convex"?

@ian.ambrose

3 жыл бұрын

@@iranjackheelson rude lol

simillrrlly

Anyone in 2021

HANG ON A SECOND... IF y(x) = sinx then y'(x) = cosx and y''(x) = -sinx I agree with the first graph, but the third graph Sal puts up doesn't correspond with the first graph. the third graph should be an upside down sine graph.

@Bryggyth

9 жыл бұрын

I know I'm a month late, but I believe that the graphs are actually y(x) = x^3, y'(x) = 3x^2, and therefore y"(x) = 6x There is obviously some form of shift, because the graphs do not exactly match up, but those are the proper shapes and therefore could be a very similar graph.

@DaleMitchell1367

8 жыл бұрын

+Bryggyth Definitely not x^3

@kavitachugh1833

6 жыл бұрын

3rd graph is not properly made ......it should be graph of -sin x .......correct me if m wrong

@gabor6259

6 жыл бұрын

Guys, he did it ON A SMALL INTERVAL, so it's not gonna be -sinx.

@thetheoreticalnerd7662

4 жыл бұрын

How does the first graph look like a sin(x) curve?? Take sin(0) and find out :) (it should be 0)

Your so all over the over the place it was so hard to understand!

...what?

The place where garbage college teachers send you to "learn" the next lession.

Khancave

Khancavity 😬😬😬