Derivative of Inverse Function 4K
I review the fundamental of Inverse Functions and then work through 3 examples of finding the slope of an inverse function at a given point.
Graphical relationship between a function and inverse: 2:28
Defining a one to one function: 6:09
Restricting the domain of a function: 13:50
Comparing the slope of a function and it's inverse at given points: 19:50
Steps to find the slope of an inverse function at a point and formula: 26:18
Example 1: 28:30
Example 2: 30:36
Example 3 Information given in a table: 34:45
Check out www.ProfRobBob.com, there you will find my lessons organized by chapters within each subject.
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Пікірлер: 46
I have never had a maths lesson in 4K before! Thanks!
@profrobbob
2 жыл бұрын
I hope you enjoyed it...and THANK YOU for watching, learning and subbing to this channel! Please keep spreading the word and tell your teacher about us too...BAM!!!
Not in need of this specific video, but I'm just here to say that you deserve a LOT more views, energetic video, clear explanations, 4K resolution?? That's unheard of. What's wrong with these KZread algorithms.
@profrobbob
2 жыл бұрын
Thank you!!! I am going to try and make more videos this school year to get me up in the search engine. Thank you for your support😊
@AR-rg2en
2 жыл бұрын
@@profrobbob your welcome professor!
Keep it up Prof! I appreciate your videos and effort, I started tom watch your trig videos these days, and they are really helpful in general! Thank you so much for keeping making videos. And I hope we'll see that more and more and more interesting topics show up here 👍
@profrobbob
2 жыл бұрын
Thanks for tuning in and I hope you can find a lot more to topics to learn from in my list of over 700 videos...BAM!!! ...and don't forget to subscribe and share this channel with everyone!
Happy to see you again. Happy new year sir.
@profrobbob
2 жыл бұрын
Happy New Year to you as well sir. Wishing you a healthy, happy, and prosperous year😊
THE GOAT
Good day ProfRobBob, You explained The Inverse Function Theorem in a more accessible/practical way than all that theoretical/abstract mumbo jumbo talk in textbooks, by using simple and clear examples... one small remark at approx. 11:00, I think you meant y'>0 instead of y'
Which camera do u use for making videos
You really have great understanding of the subject.
@profrobbob
2 жыл бұрын
Thank you...26 years of teaching! Please sub and share this free resource with everyone!!!
10:59 y`>0 this time brother How do u know slope is 2x? For slope did u bring the power down and reduce the power by one.
Could you please make videos about analytical geometry 3 dimensions!!!!!
What school do you teach at? Let me add that this video was very informative.
@profrobbob
2 жыл бұрын
A High School in Florida for 25 years...good to hear you found it helpful and thanks for watching, learning and subbing to this channel...please share it with everyone...BAM!!!
I’m 21, in college, and my 2 year old is saying “bam” exactly how you do you lol 🤣
that outfit is drippy!!!! 🙌
@profrobbob
2 жыл бұрын
Pertaining to something cool or awesome. Having an abundance of swag. The Urban Dictionary and myself THANK YOU :)
Just saw u on the road, figured I’d say hi and subscribe
@profrobbob
2 жыл бұрын
THANK YOU!!! Wish that would happen every time I traveled in the car!
Just saw you at Sams club! I like your Mazda Mx5!
@profrobbob
2 жыл бұрын
THANKS!!! ...and thanks for taking the time to look me up and comment:)
How can I contact you as a student
@profrobbob
2 жыл бұрын
I have a full time job teaching PreCalc Honors, AP Calc AB, AP Calc BC, and HL Analysis and Approaches in my school’s International Baccalaureate program. I make these videos because I love teaching math, but I don’t have enough time to answer math questions on KZread. My wife and I do our best to answer as many comments!
@tamkeen2011
2 жыл бұрын
@@profrobbob oh ok thank you sir. I'll continue to watch your videos.
Mustachee😁🤘👌🥀
@profrobbob
2 жыл бұрын
🥸
Hello sir
@profrobbob
2 жыл бұрын
...thanks for watching!
ممكن ترجمه عربيه
@profrobbob
2 жыл бұрын
Have you tried goggle translate?
Neden bu sekilde giris yapıyorsun. Ne gereği var.
Big pimping is back. Are those the mustaches of your slain enemies?
@profrobbob
2 жыл бұрын
lol...and no, I hope I never have any enemies! ..AND, the suit was on sale $$$ Happy New Year!
You can do this without finding the inverse .
@profrobbob
2 жыл бұрын
Ultimately that is the point of this Calculus lesson. However my students need an understanding of inverse functions to understand why and how the formula works.
@DamionBeth
2 жыл бұрын
I teach my students to use implicit differentiation for derivatives of inverses. Swap x & y (find the inverse), then differentiate implicitly.
@profrobbob
2 жыл бұрын
@@DamionBeth I like that method too! I stick with the formula process for AP questions like the last example. I have not made a video using Implicit Differentiation yet! Great idea 💡 😁
@aashsyed1277
2 жыл бұрын
@@DamionBeth that proves the inverse derivative formula
the Drip
@profrobbob
2 жыл бұрын
BAM!!!