Derivative of Inverse Functions Calculus 1 AB READ DESCRIPTION

EXAMPLE of testing if two functions are inverses at 7:10
EXAMPLE of finding an inverse function at 19:43
EXAMPLES of finding the Derivative of an Inverse Function 37:47 44:34

This video includes a lot of review about inverse functions before showing you how to find the derivative of an inverse function at a point. I review how to test if two functions are inverses with the definition of inverses. I also review the five steps to find the inverse of a function and I do the example with skills we have learned so far in Calculus...using the first derivative to test if the function is monotonic and 1 to 1, and find horizontal asymptotes of an irrational function.
NOTE: The linear inverse function at 36:00 is y^-1=(1/2)x-2. There is an annotation correction and is typed correctly in the Closed Captions.

[profrobbob]

You are very welcome:) I appreciate the nice feedback and your support. I wanted to review a lot of "old" concepts in this video, but when I was finished I was afraid it was too long. Thanks for watching!

[careinn]

Mr. Tarrou, I swear you're a magical genie that makes complicated things easy. I won't say I completely understand the methodology you use, the whole replacing back and forth voodoo, but just memorizing the process and applying it makes things a whole lot easier. I'll work on understanding it later. THANK YOU for another wonderful video!! lots of love from this suffering calculus student!!

[stefank]

Taking a 8 week summer course is a challenge, and i just wanted to say thank you for your dedication to your craft and educating people. Your videos are very helpful and it is much appreciated that you take the time out of your day to record these to help those that are struggling. fantastic job.

[wessmith]

Thank you! From an adult student 40+

I have been searching for a simple and verbose presentation of inverse functions. The problem I was having was finding the (f)inverse(x) without finding the inverse function.
When you said the the (f)inverse(x) was really the y of f(x) everything clicked.

If I could buy you a beer I would!

[profrobbob]

That's awesome, it's never too late to learn huh?! I'm glad my videos could make that "light" go on for you:)...and thanks for taking the time to seek additional help and choose my channel. I can't drink on the job but there is a "Tip the Teacher" button on my homepage after you graduate and get that high paying job:)...in the mean time, thanks for showing your support by liking and subscribing!

[profrobbob]

That's music to a teachers ears:) Thanks for choosing my channel to learn from!

[heyimovrherenow]

I'm taking Calc 1 through an online university since it is my only option for now, and it is very difficult trying to understand a concept just from the text. For all intents and purposes, you are my Calc professor. Thanks!

[eddietringo]

infinitely better than any help I've gotten at a learning center or from the grad student they assigned to teach my class! phenomenal work Mr. Tarrou! subscribed and recommended for sure.

[jakekipp]

Just when I thought I was going to be mentally killed by this torture tactic called calculus I was saved by a Math Jesus. Thank you so much man.

[awesomesty]

I've been subbed for a while but just started recommending your videos to my classmates. They are now glued to your videos. Seriously, thank you for making calculus super fun. :)

[g]

So far, this was the only differentiation-related topic that I hadn't gotten; thanks again, Mr Tarrou! You're a life-saver! :D

[marianamatias]

GREAT! Thank you SO MUCH! I reached an epiphany while watching this video. I understand this topic so much better! Thanks!

[MultiPenguin]

12:36
"We have a square root and a broken piece of chalk"
ProfRobBob never fails to make me laugh with his smoothness

[leatherneck]

once again you have imparted your skill and wisdom to help me understand,  especially the last two examples is when the clouds parted and the light shown brightly.  keep on keeping on, love your explanations and keeps me motivated. BAM!! doing my homework!! 

[johnryan]

Thank you! This topic was totally going over my head! Now I get it!

[Mahabhoot]

at 24:00 you multiplied numerator and denominator by 1/x and 1/sqrt(x^2). but 1/x is not equal to 1/sqrt(x^2) as sqrt(x^2) = |x| {Absolute Value of x}

[safiahmed]

Thanks Rob. I was struggling with this concept since a week now. I finally get it!

[kiquedc]

Just finished watching your video. I studied Calc I with your vids, and now studying Calc II :)) Thank you!

[mahammadmehtiyev]

Thanks for this really helpfull for my Calc 2 course

[profrobbob]

At the beginning of the sentence I should have said even root. Good catch:) I added an annotation in the video. At least I was pointing to the radical when I said the wrong word!