Calculus 3 Lecture 13.3: Partial Derivatives (Derivatives of Multivariable Functions)

Calculus 3 Lecture 13.3: Partial Derivatives (Derivatives of Multivariable Functions): How to find the slope of a tangent line to a surface in the X-Direction and Y-Direction. Focus is on the concept of a partial derivative and several examples. Also included is implicit differentiation and higher order partial derivatives.

[Weightingtablesafter]

Ive crammed so many of these videos in the past 3 days his face feels more familiar than my mom's.

[fadhla]

professor Leonard, You are the best math teacher I have ever encountered. Maybe you should start a new channel where you teach other professors how to teach.

[imanabu]

That moment when you wish you started watching these videos from the beginning of the semester not now two days before the exam ...

[hno.s]

Ex, Partial Derivatives 40:20
Implicit Derivatives 1:16:16
Higher Derivatives 1:40:24

[AtticusEluih]

Professor Leonard.. Raising the bar in the classroom and the gym!

[purpleapple-elkb]

-What does a derivative mean in Multivariable Calculus? (0:00-28:10)
-"Formal" definition of the Partial Derivative/Notation/Extra Notes(28:10-40:39)
-Ex:1 (40:39 - 49:09)
-Ex:2 (49:09 - 52:01)
-Ex:3 (52:01 - 58:23)
-Ex:4 (58:23 - 1:01:23)
-Ex:5 (1:01:23 - 1:05:19)
-Ex:6 ( 1:05:19 - 1:08:41)
-Ex:7 (1:08:41 - 1:15:07)
-Implicit Derivatives with "z" as the implicitly defined variable. (1:15:07 - 1:17:13)
-Ex:8 (1:17:13 - 1:31:20)
-Ex:9 ( 1:31:20 - 1:39:35)
-Higher Order Derivatives (1:39:35 -1:45:04)
-Ex:10 (1:45:04 - 1:51:23)
-Ex:11(1:51:23 - 1:58:29)
-Mix Partial Derivatives (1:58:29 - 2:00:08)
-Ex:12(2:00:08 - 2:05:45)
-Ex:13(2:05:45 - 2:16:34)
- What is a Laplace Equation/Applications (2:16:34 - 2:18:34)
-Ex:14 *human skin surface area word problem relating to partial derivatives/side notes(2:18:34 - 2:28:52)

[momogato]

I shall reiterate: YOU ARE FV<KING ***AWESOME***, Professor LOVE how you basically refuse to move on until the Class demonstrates a basic Knowledge of the Lesson! 1000 Thumbs up from ChiTown!

[denisegorov]

My prof said “ to do partial derivatives, you need to treat it as one variable and treat other variables as constant” that was the only theory he explained. My prof gets salary 100k+ but really teaches me professor Leonard. I believe the end of classroom lectures era is around the corner.

[jakesazgari]

I need to give this man a hug. He is singlehandedly giving me hope for this exam. Thank you, professor Leonard.

[x]

I think even Einsten wouldn't have explained it this simply. You are the best teacher in the world thank you sir.

[anon]

he explains in such a way that even a 9th grader can understand lectures love you professor Leonard...watched his calculus 1 2 and now in 3 not even a single topic i didn't understand

[adamt]

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[timlotze]

"You need the chain rule for everything you do in life... ever"
- Professor Leonard





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[tannerberry]

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[vdbgeji]

I wish I was one of your students .

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[vincentwong]

It's not easy to grasp and re-learn math all over, after 25 years. Yes, that was when I last took Calc 2 and I truly believed I was going to struggle with Calc 3 because I didn't want to repeat Calc 2. But thank God for "Captain America", Prof. Leonard! 👍 Your lectures are SUPER thorough and easy (step-by-step) to understand as you explain each element of the topics. Thanks to my classmate, Abraham, for spreading the word about you. You saved my world, SUPERMAN!

[Borinquen]

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[JoseDuarte-mbhy]

Thank You so much. It's hard to learn everything online in COVID season. There are so many questions I had regarding this topic, and you answered all of them.

[tareqislam]

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[hoangminh]

I speed up 1, 5 times faster and still understand every single words, every single exercises very clearly dear Mr. Leonard. My cal 3 teacher also teaches very fast and until now, I don't even know what he saying is really related to Calculus...