Derivatives (KristaKingMath)

[@kristakingmath]

Sorry about that! If you want to see an example, I show one at 1:34. It's just a line that cuts through the graph at at least one point.

[@xelalaw]

Can't tell you how much your tutoring has helped me. Just last night in about 4 hours I moved on pretty deeply into Calc 2 and finally understood things in a brand new way. The most helpful thing about your style of instruction is to repeat again and again the basics, even in the tougher lessons. I'm subscribed and in the next few weeks will plow through all of your videos from the beginning. All I can say now is THANK YOU! :)

[@kristakingmath]

I'm so honored! And I'm so glad you're able to get so much out of my videos! :D

[@dighbijoysamaddar459]

fresh perspectives to the most basic lessons....you are doing it for free ....this is really noble

[@467076]

So I decided to use her website. I wish I would’ve found it earlier. In her website she has more examples. If I would’ve used her videos I would’ve understood everything so much faster, instead of struggling nonstop. It’s like having your own personal tutor because she explain everything so clearly and if you don’t understand something she’ll respond rather quickly. Her website is a 5/5.

[@kristakingmath]

Thank you so much, Attack! So glad to know that the site's been helpful!!

[@saptathirtachoudhury4158]

@@kristakingmath you mean attack helicopter 😂

[@kristakingmath]

Nothing on linear algebra, but you can find differential equations here: integralcalc (dot) com/differential-equations/

[@AasaanClasses]

Superb content miss

[@fleonardo5801]

By far, the best explanation to a derivative EVER!

[@kristakingmath]

:)

[@kristakingmath]

I'm glad you like them! I haven't done anything with matrices yet. Hopefully I'll get to it in the future! :)

[@Phaneendra94]

I've learnt about derivatives about an year ago, but back then I had no idea what it actually meant.Thank god! Your video made understand it clearly

[@davewhite5433]

Anytime I don't understand anything from math class I look you up! Thank you so much for your help and clarity!

[@kristakingmath]

Wow thanks! I'm so glad the videos are helping!! :D

[@caramelwoodpecker460]

So clear. So good. i like how shes thinking about the audience perspective

[@fabio-maciel]

Hi Krista! I'm loving your videos. Some teachers just show formulas and throw numbers at the students, but your explanations are so clear and exciting. It makes math more fun and beautiful. I've subscribed and download your e-book. Pls keep it up, you're the best!! Greetings from Brazil!

[@kristakingmath]

Thanks for the feedback! I'm so glad I've been able to help along the way.

[@Liz-is6sv]

This was so easy to understand. I watched it once and I understood it better than when my prof explained it for two hours. Great job!

[@kristakingmath]

I'm so glad it could help!

[@zannapetite3783]

Seriously... I'm much further along in my year at this point- but if it weren't for your videos, I wouldn't be doing as well in Business Calc as I am. I've recommended them to just about everyone! Thank you!!!

[@kristakingmath]

Thank you so much!! I'm honored to be to help. Good luck with the rest of business calc!!

[@walteroglesby2027]

Recently found your material. I really appreciate how well you present the topics. This has really helped me grasp the concepts.

[@kristakingmath]

I'm so glad you're liking everything so far! Thanks for letting me know. :)

[@ahmedi_seen]

Glad to subscribe. you are not the only tutor here at KZbin.. but honestly.. your one of the best ;) thanks

[@erdwaenor]

Your Calculus content is great; it provides essential information in a simple way and gives important insights at the same time, both the elements teachers or professor often miss or struggle (and fail) to translate to most students. Thank you so much for your videos and materials!

[@kristakingmath]

Thank you! That means so much to me! :)

[@mohmera]

thank you! i was completely confused during the lesson but you made everything clear . thanks!

[@kristakingmath]

Muhd Mera you're welcome, i'm so glad this helped!!

[@akshatgranger964]

Krista you are really ''The King of Maths'' your videos are amazing and simple ........ Love your videos and the tutor like you ....

[@khalidbornaparte6250]

You mean Queen

[@123RockingVideos]

This video made way more sense in 7 minutes that my professor did in 4 hours. Thank you so much. :)

[@JoseGarcia-pt1iw]

As I said, she is an excellent professor, thank you very much! Easy to understand the explanations.

[@airmikec1]

I am incredibly impressed. I have 3 engineering degrees with a strong background in mathematics. In math I just did the "monkey see, Monkey do" approach. I am in an optimizations course now and I was looking for a definition to a particular math vocab and came across your videos. I am highly impressed, you just cleared up a few years of questions about Calculus. So for what it's worth, you were phenomenal. I hope you are becoming a professor.

[@kristakingmath]

thank you so much, i'm so glad you liked the video!

[@kristakingmath]

Yay! I'm so glad I could help! :)

[@kristakingmath]

No, Psychology actually! But I tutored calculus and loved it... hence, integralCALC. :)

[@tonygalanos8395]

im beginning to enjoy calculus because of you,,thank you so much

[@kristakingmath]

That makes me so happy! :)

[@kristakingmath]

You're welcome!

[@kristakingmath]

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

[@JossinJax]

Nice use of color to show what happens to the secant line as it approaches tangent :)

[@jomosoft]

Thank you so much ! This is going to be a great serie of calculus videos !

[@kristakingmath]

i'm so glad it helped, especially for a test! :D i just make them one at a time!! :D

[@xXUniqueSunRaysXx]

Thanks Kris, you let me understand everything smoothly. May God bless you

[@92muztafa92]

as a 3rd year university student who just needs to finish calculus I, thank you for your amazing tutoring, can't thank you enough, keep it up :D

[@kristakingmath]

I'm so glad I can help along the way! :D

[@blakedahler1434]

Your videos are the best ones I have found! Thank you so much!

[@kristakingmath]

Wow thanks! I'm so glad they're helping!! :D

[@kristakingmath]

I'm glad I could help! :)

[@xman935]

THANK YOU!!! Wish you were my professor, you make this difficult concept seem easy.

[@kristakingmath]

unfortunately i don't have any great tricks, but the more you use the formulas in practice problems, the easier it is to remember them, so just try to practice as much as you can!! :D

[@kristakingmath]

Awesome! I'm so glad I could help make it more clear for you. :)

[@kristakingmath]

I'll do my best to be your youtube tutor. :) Glad you liked the video!

[@vincep12345]

This clarifies a lot! Thank you so much!

[@TheBackyardProfessor]

This was another good video! Thanks...... You look like you enjoy it! I enjoy learning from you.

[@kristakingmath]

I'm glad I can help! :)

[@Specnutz]

Thank you! This truly made me understand how to use the definition of a derivative in a real example. I was wondering if you have any CALC 2 videos.

[@kristakingmath]

Awesome! Yes, I have lots of calc 2! This is a calc 2 playlist from my channel: kzbin.info/aero/PLJ8OrXpbC-BPLux1qeQRT99STURIqtGrz I also have calc 1 and calc 3 playlists. :)

[@ibbyrobins3885]

This vid just saved me from failing a test. good example, also good explanation as you show how the equation was derived. How do you find the time to make all these videos?

[@armando4elmundo]

Thanks for that correction Krista! I thought I was losing my mind : )

[@CaptainCaptol]

you deserve much more subscribers and views. i love your videoss!!!

[@kristakingmath]

You're very welcome. :)

[@ankurpatel66]

I love math when your doing it

[@Patric6319]

These videos are so helpful, thank you for making them. Have you done anything with matrices

[@we-are-electric1445]

At 6:47 shouldn't the final line be the reciprocal ?

[@AshayKully1401]

JUST AWESOME..! THANK YOU MISS.. BEAUTY WITH BRAINS!!

[@kristakingmath]

You're welcome! :D

[@tanshikohli6730]

ell the you explain is awesome you really seem to have good and high order knowledge

[@joliettraveler]

Do you mind correcting this. You had part of it when you had 1/4hx etc. How did you get it to be a reciprocal?

[@natanaela.r628]

4 years in university summed up in 7 minutes video!

[@johnpanzarella6083]

You just shaved 5 hours off my homework. THANK YOU! (again)

[@sunrise8263]

Shave four vowels off your last name.

[@TargetTutorialWithDawit]

Hi how are you? I like the way of your teaching. I have also a KZbin channel. What kind of application are you using for teaching purpose?

[@asalamkamal6365]

Are you explaining from your memory or do you have a script to read?

[@kristakingmath]

The grapher application on a mac, and a wacom tablet. :)

[@duhirwejeannepomscene8635]

This is great, thank you.

[@StreuB1]

Ok, so following this, near the end. I wa able to get the solution to my first HW problem for section 2.1 derivatives and the tangent line problem. The confusing part is the book uses 'c' and delta 'x'. This video uses 'x' and 'h' and I know they're just variables but I cannot wrap my head around and get straight, what the variables are referring to. f(x), f(c), delta 'x', points P and Q, etc etc etc. Discouraging.....though I am sure in time, this will all be obvious and simple to me. I hope. f(t) = 3t - x^2; find mtan @ (0,0)

[@jaredloveless]

Here's a real world problem that I'm trying to use to help me learn calculus, please help: I'm a driver for a popular food delivery service. I have a goal to keep my approval rating above 95%. I've just gotten started and so after only a couple of bad reviews my rating is now 94% I've had 33 total ratings, 31 of which are positive. this gives me a rating of 93.9 which is being rounded up to 94 Assuming standard rounding (below .5 rounded down, .5 or above rounded up) and assuming I don't get anymore negative ratings, how many more positive ratings do I need before I have 95%? EDIT: added an assumption

[@AAASSS-su9gy]

Excellent explaination I have a question what does rate of change of a function at a point mean ?

[@kristakingmath]

+sachi codo It's the slope of the function at that point. So, you know how the slope of a line is the same everywhere? Well, for functions that aren't lines, but instead have irregular curves, if you want to find the slope of it somewhere, like it's nice to know the slope of a line, then you can find the rate of change at that particular point.

[@kristakingmath]

Thank you! :)

[@silesheyeshitila1205]

thank you so much for your videos!!!!

[@kristakingmath]

you're welcome!! i really do hope that they're helping!! :D

[@kristakingmath]

aww thank you so much! that means a lot to me. :)

[@jeremy0203]

What programs do you use for graphing as well as with your tablet?

[@khayari1]

some math with love omg the cutes teacher i have seen teaching math i love math

[@kristakingmath]

i'm so glad! :D

[@dpmike32819]

I am confused. If a function is differentiable then the function must be continuous on the domain of the function. Then why is the f(x) = (x^2 - 4) / (x + 2) differentiable when x cannot equal -2, which means there is a hole in the graph at -2 making it non-continuous.

[@bdeep666]

If h=0 the equation becomes undefined because 0 in the denominator. Waaat? I don't get this please help someone...

[@redkritter1225]

Deep B really late but the H on the bottom cancels out and it removes hs in the numerator

[@ceku-ge2ti]

4 years late lmaoo

[@Dave.Blomfield]

Thank you!

[@kristakingmath]

David Blomfield You're welcome!

[@jordantiller]

Thank you so much!

[@kristakingmath]

Ughh... that's so tough, I'm sorry... :/

[@StellarSabSab]

Can you do a video for sketching derivatives of a function? I really need help on this topic!!

[@kristakingmath]

+Sabrina Shores I'll try to post one! :)

[@shahriyarshahmohammadi8382]

hi.I think the answer is wrong.The expression4x^2-4x+1 should be in the denominator

[@kristakingmath]

Best news ever! :D

[@hg2.]

This one was a bit too much/too fast. "The exception that proves the rule" for Krista videos. (I lost the thread toward the bottom of the blackboard formulas. )

[@Moh20ish]

Nice Job Krista :)

[@roshanrai4720]

really it is easy to understand awesome

[@kristakingmath]

Awesome!! :D

[@kristakingmath]

ha... just have to keep you on your toes. :)

[@kristakingmath]

Awww, thank you!! :)

[@idkDRuMMER96]

Does anyone know why I cant watch the video? The video plays, I can hear the sound, but the screen is just black. Anyone?

[@JabranShakil]

Upgrade your flash player or re-install your web browser. Or maybe try a different web browser?

[@kakarot-el9bt]

The definition of tangent line is not that the line which only intersects the curve once.

[@mosaddekislam303]

please make a playlist based on topic..thanks

[@tronghai55]

Your teachings must right for the development of calculus 1 or 2. But this cannot applied to 3 D conformation functions on computers for the 3d confirmation is a volume within a volume and your planar mathematics works only in R, R" assembly. And for 3D confirmation of schematics definitely everything would be in a let say Euler mathematics. And your teachings is limited and does applied to others specific global functions. Krista. And by playing in 2 D dynamics in certains specifics researchs, the finals solutions can only be underrated. You are a very good teacher and I even forgot how to do these things in hi school. Still everybody cannot smart everywhere.

[@abhishekkulkarni7057]

i just love maths now

[@husseinibrahim8586]

Thanks it is very helpful I tried to understand it by Calculus for Thomas 11th but I couldn't :p You are beautiful

[@prakashvasan2334]

How the hell u remember so many formulas,is der any trick or so,pls tell me i have lots of problem in learning the formulas and thanks for sych a great video!

[@skipunkrich]

were you a physics student in university?

[@AasaanClasses]

U r great miss

[@romanemul1]

this was cool video.

[@kristakingmath]

:D

[@kristakingmath]

Hahaha, thank you!! :D

[@seerat1000]

hi, how did you get 4x^2 ...... isn't 1 over 4x^2..... ?

[@kristakingmath]

+Seerat Raseen Yep, I already have an annotation about that.

[@hg2.]

+Krista King Is an annotation one of those white bars that shoots across the top of the screen?

[@rcarnes3]

Yep. The annotation is pretty quick across the screen, but the fraction is mishandled in my understanding. Also the derivative of (x/(1-2x)) is 1/(1-2x)^2 which is the expanded polynomial Krista is showing on her chalk board.

[@FelixFelisis]

God bless you!

[@mcgarettsteve9077]

thanks..real good

[@kristakingmath]

Thanks!

[@kristakingmath]

LOL...I'm not sure if that's a good thing or bad thing. :)

[@DelGeeZee]

how can I imagine a secant line if I can't-see it?

[@borelatech]

- "Now we need to start simplifying it" - proceeds to make the equation 3x larger Someday I'll find this topic easy ;-;

[@KeenenBlockson]

[@NewMathTutor1]

Excellence

[@kristakingmath]

Thank you! :)