Derivative of Inverse Functions Calculus 1 AB READ DESCRIPTION

[@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]

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!

[@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!

[@careinn10]

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!!

[@profrobbob]

You're welcome...Just keep doing what your doing Karen Yang and know that I'll be here when you need help! Thanks for being such an awesome student and taking your education seriously and studying so hard, wish you were my student:)

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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. :)

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

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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.

[@profrobbob]

THANKS for the great comment and support eddie tringo ! Sounds like you need to post my channel in the student learning center for me & remind them to SUBSCRIBE to all their favorite free educational channels too!

[@profrobbob]

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

[@MultiPenguin123]

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

[@profrobbob]

You made me go back and watch..lol Thanks for watching, learning, liking and subbing and paying such close attention to my lessons:)...no wonder you are such a good student...BAM!!!

[@2055g]

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

[@profrobbob]

Good to see you again 2055g Happy New Year, and it looks like your off to another great start with your studies...BAM!!!

[@profrobbob]

[@wessmith2112]

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!

[@safiahmed345]

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

[@profrobbob]

You're welcome Safi Ahmed BAM!!!

[@ovrhere1]

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!

[@profrobbob]

THANKS for seeking out the help you needed and choosing my channel to watch, learn and subscribe to matt higgins ! I'm honored to be your Calc 1 KZbin teacher and hope you continue to find the help you need to pass that online class like BAM!!! If my lessons continue to help, maybe you could share my channel with the online university you are using as an additional resource to share with their students...one more way to help my channel groW and help others:)

[@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}

[@marianamatias9277]

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

[@jakekipp6504]

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.

[@profrobbob]

+Jake Kipp I don't know about that, maybe super-math man...lol ... but I'm happy to hear that watching my lesson saved you from that torture:) Please like, subscribe, support the ads and keep sharing with your other tortured classmates to help this and other free educational channels grow and remain free for everyone:D

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+Jake Kipp lmao at math jesus

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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!!

[@profrobbob]

What more can I say to a comment like that?!...other than THANK YOU for your continued support and for allowing me to teach you math until the light shines so bright that you will soon need to wear sunglasses while you learn:)

[@mahammadmehtiyev7390]

Thanks for this really helpfull for my Calc 2 course

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

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You're welcome and thanks for the continued support! I hope your still spreading the word too:D

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Good video, but can you make one about slope fields? I can't seem to find one in your channel.

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great video! Thank you so much. Very clear and well presented.

[@profrobbob]

You're welcome...and thank you for choosing my video to learn from:)

[@abdulazizalshammari6581]

you helped me a lot thanx Mr Bob

[@marccepeci2980]

when you take the square root 4 . It could also be -2? so how do you know it is x? this is about 13:00

[@profrobbob]

marc cepeci That is a really good question. When an equation already give you an even root like a square root, you only need to consider the principal root. There is no negative in front of function f(x), so you only need the positive square root. If you introduce an even root, then you must account for the positive and negative answer.

[@praneshbalasubramaniam8749]

thank you!!

[@profrobbob]

:)

[@nitti3723]

Prof Bob why are those 4 statements 32:20 true? And why is the definition of the derivative of an inverse function true? Should I not be concerning myself with these things? I've always understood the reasonings behind everything that's been said in math up till now but lately it's just been making my head hurt. :( so many words.

[@profrobbob]

Inverse functions graphically are just reflected over the line y=x. It is certainly not a proof but draw a bunch of functions on an xy coordinate system that meet the continuous differentiable requirements, flip the paper over looking through the back of the paper making the positive y axis the positive x axis and look at the inverse.

[@fviancu]

Typo in inverse function at 36:00

[@profrobbob]

Are you referring to the "funtion" on the board that is hand written or the 1/2 in (1/2)x+2 that needed parenthesis. It was not long ago I typed in the Closed Captions for this video and I am doing more CC's today, hence the immediate reply:)

[@fviancu]

The "function" on the board, yes. The inverse is wrong. Just do a check of plugging in x=8 and you won't get 2. It should be (1/2)x-2.

[@profrobbob]

OMG, Thank you:) Putting in an annotation correction right now!

[@manzoorboy06]

Everyday I am learning something new :). Thx!

[@Ren-ge8go]

Great lesson! Thank you!

[@profrobbob]

You're welcome..and thanks for making me your number one subscribe!

[@SujoyPurkayastha]

+ProfRobBob do you ever plan to make a SAT practice series?

[@profrobbob]

I can see that as being a future project, but not in the near future. As a high school teacher all of my videos so far have been to supplement classes I am teaching or have taught. This year I am teaching Alg 1 for the first time in MANY years, so my focus will be Alg 1 this year. I then want to get back to Calculus when this school year is complete.

[@EvilGenius124]

I thank you and respect you for doing this

[@jonnymat1]

Awesome video, it helped a ton! I'm having trouble doing this with trinomials though. When I set the given value equal to the original function, I can't figure out how to get 1 x value. Would there be 2 x values?

[@profrobbob]

I looked through the Calculus book I teach and there was only one question with a trinomial and it only had one answer??? Did you ever figure out your question? Sorry for the slow reply What book are you learning from?

[@Shahomme]

hi sir i am struggling to undersand what to do in order to prove that a function is Not one-to-one. what are the steps to prove that? thanks

[@profrobbob]

The easiest thing to do is graph the function. If it passed the vertical line test, they only cross once (each x only has one y), and also passes the horizontal line test (each y only has 1 x) then the function is 1 to 1. Algebraically you will need to analyze the function. y=x^2 is a function. No matter what x you use you will only get 1 y. Solve this for x however and x= + - the square root of y. A value of y will give you 2 x's.

[@vsalukir7019]

I think there is an error at about 22 minutes. You have to distribute the multiplier of 2 to both the X^2 and the +5, leaving you with 2X^2 + 10 - X^2. So the final numerator is X^2 + 10, not 10.

[@sharifahmed45]

when you take denominator of (x^2+5)^1/2 to the numerator, wouldn't you negative of denominator?

[@profrobbob]

Sharif Ahmed Are you referring to minute 21:20? I am not moving (x^2+5)^1/2 up to the numerator, I am finding the derivative using the quotient rule.

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I feel like I'm his student. I see more of him than my own teacher 😂

[@profrobbob]

+Taylor Roos you are my YT student lol...thanks for choosing my channel to study with and sub to, I hope you are telling all your friends and classmates to watch and sub as well:D (sounds like a good time to start a study group:)

[@sammunoz1654]

Really helpful thank you so much!!!!!

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YOU R THE BEST

[@profrobbob]

Thanks for choosing Tarrou's Chalk Talk to learn from, like, and subscribe to!

[@tshamanoodelle2997]

no problem

[@yupbpb]

Amazing! I have been struggling with this concept in Calc AB, but you helped to explain it very nicely. It is still a bit shaky, but I at least understand it now. Great job! Thank you very much.

[@profrobbob]

You're welcome yupbpb and thanks for choosing, watching, learning, liking and subbing! SPREAD THE WORD :D

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ProfRobBob Sure! :)

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You are my hero

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srsly... your videos sir helped ma alot.. i am reviewing for my finals tomorrow.. and derivatives of trig func. are what i hate the most.. the questions look very impossible to solve but they really are manageable as long as you keep on practicing.. i felt like my brain was about to pop.. but no pain no gain #mathworkout THANK YOU AGAIN SUPER-MATH MAN :D

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+melanie irene de ocampo oops wrong post XD i was watching your other vid.. anyway thanks again

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Is no one going to talk about his beautiful hand writing?

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Real Talk: Can you make a tutorial on how you disappeared like that at the end

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I love you thank you again

[@profrobbob]

:)

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great vid

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Thanks!

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actually I like your videos more than patric videos , but the reason of why I prefer to watch patric videos is that they are very short and easy to watch and look for what I don't understand in mathematicise , so if you split your videos into specific topics of videos that would be better for me and any student . if you agree with me press like . thank you

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+‫كل يوم فيلم‬‎ thanks for your feedback...the way I make my videos follows my classroom teaching style and I chose not to be like a lot of the popular channels when I started these lessons. The best I can do is provide time-stamps in the description so you can fast forward to exactly what you need. Thanks for watching when you have the time, we do appreciate the support.

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god bless u sir :)

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THANK YOU Max!...and thanks for watching and subbing!

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Videos are too long