When is a curve differentiable?

[@anggaraadhari1933]

Best calculus channel I ever watch.

[@MuchTooStress]

Ahhhh...why didn't my math professors teach like this!!!

[@TheBigBawsss]

Great explaination, this has made understanding the boundary conditions of schrodingers wave equation in quantum mechanics easier to digest.. thanks 😃👑

[@vincentortega4284]

You are a lifesaver. Clear, and detailed explanation; like always, Thank you Krista King.

[@kristakingmath]

Thank you, Vincent! I'm so glad you liked it! :)

[@bornhere13]

Thank you for your videos, and for finding time to answer questions in the comments. Keep at it!

[@kristakingmath]

Thanks! I hope to. :)

[@estspartans]

You should do more style of videos like this in your future teaching videos! It's a great way of explaining the concept before applying it. I like it.

[@kristakingmath]

Thanks Kevin! Appreciate the feedback, and really glad you liked this! :D

[@kikawarichardcliff5286]

You just made it so clear and obvious. Thanks a lot.

[@kristakingmath]

Thanks! I'm glad it could help. :)

[@wisdomemeka6271]

The music at the background for me😇 and bless your heart ❤️

[@JohnnyYenn]

Great quality as always :)

[@kristakingmath]

Thanks! :)

[@mysticdragon2101]

BLESS YOUR SOUL !!!

[@dmanola7able]

thank you for making these terms clear! I was confused when I first learned this material

[@kristakingmath]

Glad it could help! :)

[@ffhashimi]

This Great!; it's brief and concentrated and that make it very useful, I hope you create a video on integral like you did here to differentiation .. thanx for the good job

[@kristakingmath]

Thanks for the feedback! Yes, I'll be making one on integrals sometime as well. :)

[@tolgamulayim3176]

Just subbed, I think you just might save my education lol thanks and make more! p.s. where have you been my whole life!

[@kristakingmath]

Lol... I'm glad I can at least help now.

[@sdghhf]

Hi, can u do a video on the difference between a function being differentiable on an 'open interval' and a function being differentiable on a 'closed interval'? Thanks.

[@laptopuse2689]

yea

[@laptopuse2689]

yea

[@rafatashraf3669]

So lucidly explained. Thank you a lot.

[@kristakingmath]

You're welcome, Rafat!

[@hugosanchez4067]

idk when I subscribe to you krista but def. good video while im iceskating in NYC Happy Holidays to everyone and happy studying to all of ya. your math is Kinging !!

[@kristakingmath]

Sounds like fun! :D Yes, have a great Christmas and Happy New Year!

[@isam.2078]

most helpful video on this topic on youtube!

[@sjpatil737]

great video I like "continuous means you must be able to draw the graph without lifting your pencil."😃 thanks

[@kristakingmath]

:D

[@zorak0044]

32. If the two functions f and g are differentiable at the number x1, is the composite function fºg necessarily differentiable at x1? If your answer is yes, prove it. If your answer is no, give a counterexample. Could you please help me with this ex?? Thank so much.. Greetings from Perù!!

[@zorak0044]

ok let me trying.. we know by chain`s rule Duy.Dxu when Dxu not problem.. The problem is with Duy, but if there is a guarantee for gx--->gx1 when x-->x1, you replace it and done.. but again, the example g(x)= sgnx , when g(x)=g(x1) dont let replace x1 for g(x1).. Is there a theorem I `m forgetting? sorry for my english..

[@syamalchattopadhyay2893]

Excellent video lecture.

[@kristakingmath]

Thank you so much, Syamal! :)

[@Pawankumar-vs8nr]

Fine explained

[@zaanounioumima8652]

thx krista im from morroco and i like your vidoes

[@kristakingmath]

Hi! I'm glad you're liking them!

[@itsoknottobeok9381]

Gold explaining Gold

[@kishorekish6]

Simple and clear explanation ! Good job :)

[@kristakingmath]

Thanks!

[@indian_scouser_ynwa]

awesome mam.always love watching your videos

[@kristakingmath]

:D

[@StuckDuckF]

Great Video Mrs. King, however I would have loved a shoutout to Weierstrass functions :)

[@kikawarichardcliff5286]

I believe she has shouted it out though not mentioned the name. This makes the Weierstrass theorem easily understandable....me thinks!

[@samanthadaria9891]

Thank you! So helpful, especially with my calc final this Thursday :)

[@kristakingmath]

Good luck on your final! I hope you rock it. :)

[@samanthadaria9891]

Krista King Thanks! Hope I will too :D

[@josephmiano2006]

How can a curve be differentiable on a closed interval? Wouldn't the fact that the end points are just points make it non-differentiable at those points? In this video there's an example of an open-interval differentiable function, but not a closed-interval one. In the example, the left-most point is included in the interval, but the function is still said to be non-differentiable at that point. I am confused by that, so any explanation would be helpful.

[@andreaLA222]

Thanks for the video!

[@kristakingmath]

You bet, Andrea! :)

[@gabe75001]

Great explanation. Thank you very much!

[@kristakingmath]

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

[@Pawankumar-vs8nr]

X^2+y^2=4 in circle can we say -2and+2 are points of differentiable, it means circle is differentiable

[@pranjaldeoraj5234]

Thank you so much 😍🤩🤩

[@ameynarkhede8264]

This is so awesome. Thank you.

[@kristakingmath]

:D

[@kimmullis]

Hi Krista, can you please tell me what software you use to make these videos? Thanks!

[@kristakingmath]

Hi, Kimberly! The software is called Sketchbook. It's made by Autodesk. :)

[@ck-by9nq]

Just a heads up, smooth usually means infinitely differentiable. So, smooth and continuous is redundant.

[@MirGlobalAcademy]

Good

[@Aaron-hg8jo]

oh my gosh thank you so much

[@kristakingmath]

You're so welcome, Aaron! :D

[@khaledqaraman]

I think the graph in minute 3:00 is the cubic root, isn't it?

[@kristakingmath]

Yes it is!

[@carolinemitchell5711]

Always helpful!

[@Stayawayfrommyname]

Can you please name the program of the chalkboard that you use in some of your videos? Thanks :)

[@kristakingmath]

I explain here: www.kristakingmath.com/blog/how-i-create-my-videos

[@layanq9395]

Thank you so much

[@kristakingmath]

No problem, Layan! :)

[@krishnavardhanchary509]

i love ur explanation

[@AnthonyCastano]

Thank you! You helped so much!

[@kristakingmath]

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

[@lindamohammed4715]

looovvve your explanation. u r the best 🙌🙌🙌🙌🙌🙌

[@kristakingmath]

Aw thanks! :)

[@authenticstories2571]

thanks alot

[@themather4189]

wait wiat wait !!! !!!.Any function differentiable then the function is continuous can you explain to me how this rule goes with : 1\x or x^-1 its a differentiable function but its not continuous #Thanks

[@kristakingmath]

It's not differentiable at x=0, even though it's differentiable everywhere else. :)

[@themather4189]

#Thanks_Krista

[@dineshkumardivakar3409]

Very nice

[@kristakingmath]

Thanks, Dinesh! :D

[@henri1_96]

A blessing from the Lord!

[@hello_dayana]

wow!!!!! bravo!!!!!

[@kristakingmath]

Thanks!! :D

[@roopammondal5934]

woow awesome video😘😘😘

[@kristakingmath]

Thanks!

[@roopammondal5934]

Krista King can you please make a video on probability

[@jasongretencord3326]

Can a point have a slope?

[@kristakingmath]

If you really technically mean a single point, then no. But if you mean a particular point on a curve, then yes.

[@timeearning6782]

You are nice person

[@justinward3679]

y u upload after finals :(

[@kristakingmath]

Sorry about that! I wish I could have all of the videos done and published. I'm publishing when I can so that they will at least be out there when someone needs it in the future. :)

[@LingLing-if3mh]

i hope i can meet you earler

[@ashkinfinor9433]

Good