Derivatives of Inverse Functions | Calculus

This calculus video tutorial provides a basic introduction into the derivatives of inverse functions. It explains how to evaluate the derivative of an inverse function at a point using a simple formula.

Derivatives - Free Formula Sheet:

Final Exam and Test Prep Videos:

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Derivatives - Fast Review:

Derivatives - The Product Rule - f*g:

Derivatives - The Quotient Rule:

Derivatives - The Chain Rule:

Derivatives - Composite Functions:

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Implicit Differentiation:

Derivatives of Inverse Trig Functions:

Derivatives of Exponential Functions:

Derivatives of Logarithmic Functions:

Logarithmic Differentiation:

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Derivatives - Using Logarithms:

Derivatives of Inverse Functions:

Derivatives - Differentiation Rules:

Derivatives - Function Notations:

Derivatives - The Reciprocal Rule:

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Final Exams and Video Playlists:

Full-Length Videos and Worksheets:

[joehoe]

I love your channel. Oddly, i can't believe how much i miss its simplicity, its sentiments and the sheer intelligence it takes to understand it ..ur awesome

[jerrysterling]

Finally... It clicked. This whole approach with tracking the X1 Y1, X2 Y2 saved my shit man. Hell yeah.

[ilovebutter]

thx for your generous help I'm gonna cry...

[faleeba]

You are literally getting me through my calculus course thank you so much!!!

[Maricookieme]

my university professor couldn't explain this subject as well as you did, THANK YOU!

[georgesadler]

MR. Organic Chemistry Tutor, thank you for a solid analysis of the Derivatives of Inverse Functions in Calculus Two. This is one topic in Calculus that I do not understand from start to finish. I will rewatch this video and do problems in order to understand this material. This is an error free video/lecture on YouTube TV with the Organic Chemistry Tutor.

[petertran]

Best explanation in the web that I can find so far. Nice.

[AhmetOmerOzgen]

this one is a bit complicated but works like a charm.

[wandamilliman]

Finding the derivative of the inverse has always been a struggle. Keep it simple, is my recommendation. The derivative of the inverse is 1 divided by the derivative of the function at the y value of the x value given. I would like to see more derivatives of inverses without the specific value, but just the function of the inverse's derivative.

[rosskious]

At 5:14 you switched y and x, but did not solve for the inverse. I guess this means just switching the variables and doing implicit differentiation give you the equation for the slo
P of the inverse?

[ueda]

Amazing video, clear as the water of a swiss river in spring!

[panyachunnanonda]

Thank you very much, I love this VDO clip.

[mohammadzaid]

God bless this channel
Love u man👍🏻👍🏻👍🏻👍🏻👍🏻👍🏻👍🏻💋💋

[murtuzalemonwala]

How is f inverse of x equal to y2? 2:04

[hibamerci]

at 04:18 where did the 3x^2 come from? someone please help

[SolomomMamman]

Thanks man u just saved a life from possibly academic doom, if God wills it so I'll be lifting my certificate in ur honor

[shadinmuraysh]

You are an angel sent from heaven thank you

[kataxiro]

I’m totally gonna pass my exam on Friday 😏

[chriswilliams]

8 minutes 40 seconds. You mention a leading coefficient test of the constant term and leading coefficient making the factors plus minus 1 and plus minus 5. Would factoring it to be (x+5)(x-1) = 0 be an incorrect method? I plugged in x =1 with this method and found it to be = 0.

[faridgulum]

I do not understand why he did not plug-in 3 after finding derivation of the function f'(3). Instead he found (x1, y1) (x2, y2) separately and plugged in 1.