Derivatives of Radical Functions

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This calculus video tutorial explains how to find the derivative of radical functions using the power rule and chain rule for derivatives. It explains how to find the derivative of square root functions and cube root functions.

Derivatives - Fast Review:

Equation of the Tangent Line:

Derivatives - Horizontal Tangent Line:

The Equation of The Normal Line:

The Equation of The Secant Line:

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Average and Instantaneous Velocity:

Instantaneous Rate of Change:

Derivatives of Rational Functions:

Derivatives of Radical Functions:

Derivatives of Fractions:

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Derivatives - Higher Order:

Simplifying Derivatives:

Derivatives - The Product Rule:

Derivatives - The Quotient Rule:

Derivatives - The Chain Rule:

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Final Exams and Video Playlists:

Full-Length Videos and Worksheets:

Derivatives - Formula Sheet:
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thank you man you're saving lives and mental health right here.

fireflies
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if you noticed his mistake from the last equation, it means you've learned well

shinoi_
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if I had a million id give to you, your videos have been crucial to my success in both math and science!

edgarrubio
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Maybe he didn't notice but he forgot to change the exponent to negative. But all in all, he did really good in teaching 😊

annekunn
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the power of the 8/root 7 (3-2x)power 4 when you rised it up it should be with negtive not postive

tarekmoumen
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Thanks man.
This is exactly what I needed.
I love that you explaining the basics, using simple examples and then doing really hard examples.
Because my book explains it too basic and then asks too hard.
You bridged that gap perfectly.
10/10.
Subscribed.

Dixxi
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Professor Organic Chemistry Tutor, thank you for a powerful analysis on the Derivatives of Radical Functions in Calculus. Once again, thank to your viewers for finding the error at the 12:46 minute mark in this video. For the final example, the exponent should be negative before taking the Derivative.

georgesadler
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I played 12:32 to search if I was wrong, Tutor forgot the to change the exponent to negative as he moved it to the numerator.
but otherwise, he is the best in this so far.

retsepilemothepu
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Your last answer is wrong. You forgot to put a negative sign when bringing the 4/7 on the final answer that I got is positive 64 upon 7 to the 7th root (3-2x) to the power 11
[64/7 root 7 (3-2x) to the power 11]

allwhothirst
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Thank you a lot! The way you explain it becomes easy to understand. You've got the gift to teaching.

kaduflutist
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Although you forgot the negative sign at the last problem it's still a value Video. Thank you so much.

kenth
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BLESS UP I finally understand how to find the derivative of radicals

peeweebaby
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Best YouTube channel fr. Everything I need further understanding or examples on this channel pops up. Goated! 🐐

zaviermagee
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I don't have word to thanks you sir! God bless you!

doyoarero
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why are you literally better than my prof in college

ismaelreyes
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One of the best teachers out there! For the last example I get this answer: 64 / ( 7 * sqrt[7] (3-2X)^4 * (3-2X) ). Anyone know if this is correct?

chipou
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man... deeply from my heart thank you SO MUCH!!! god bless you legend

theksamm
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I am agree with tarek moumen. There is mistake at 12:42.
Overall, thanks.

virajkumar
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So for the last question, he forgot to change (3-2x)^11/7 to (3-2x)^-11/7 making the final answer 64/7(3-2x)^11/7, but if you rationalize the denominator then the answer should be (64(3-2x)^3/7) / 7(3-2x)^2.

That's what I got could anyone confirm whether or not I did this correctly?

chriswilliams
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You are my favorite video instructor so please fix your exponent mistake of 6 yrs. ago.

dianestrutz