Partial Derivatives - Multivariable Calculus

[@TheOrganicChemistryTutor]

Derivatives - Free Formula Sheet: bit.ly/4dThzf1 Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections

[@only1tiberious]

W tutor

[@Nairobi_Finest.]

Find the complete solution of y 2 zp − x 2 zq = x 2 y

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Locked

[@erikmachado4489]

What truly makes this channel great is he takes his time to explain a prior concept, so that we can fully understand what's going on. Most channels just say something like "I assume you know how to do this part" and proceeds to solve the problem forcing students to go back and remember something they haven't seen in a bit when literally a simple review can come a long way.

[@undefined.infinity3106]

that way he shows every derivative part by part, irl any teacher never do that for their students.

[@devalon8568]

He sometimes does this too, though. But yea better than other teachers.

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It needs patience to do that and most teachers don't have it.

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it's well simplified

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no one cares about geology students :(

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@@GiuResta in my college this is calculus 3 and for what I know, only engineers have to take calculus 3.

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@@Wasoska Same, although there are some computer science students in my class lol

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istg your channel is the reason im passing calculus. Bless your soul dude

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Best Partial Derivatives video so far on youtube, great job!

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Thank you for breaking down partial derivatives so clearly! Your explanations are so easy to follow, and they've really helped me understand a challenging topic. Keep up the amazing work!

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LOVE LOVE THIS VIDEO. THANK YOU SO MUCH, YOU EXPLAINED EVERYTHING SO DETAILED AND EVEN THE BASIC DERIVATIVES FROM CALC 1. THANK YOU SO MUCH!!!!!

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[@centainejoseph337]

Can you do a video on calculus 3 topics that fall under partial derivatives such as 1. Limits and Continuity in Higher Dimension 2Directional Derivatives and Gradient Vectors 3. Tangent Planes and Differentials 4.Extreme Values and Saddle Points

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You the best tutor Man....when i started watching this video i was so lost with these partial derivatives but now i totally understand them. Thank you keep helping other and the lord will bless you abundantly

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Thankyou this video helped me a ton to understand partial derivatives, cleared all the possible doubts. Helpful for my Engineering Mathematics.

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[@catcen9631]

It's a great video! I only have one question left... How do I know when the constant becomes 0 or stays the same, when we do differentiate it?

[@realndu]

If we're differentiating with respect to x, y is considered a constant and vice versa. If you're differentiating with respect to one of the variables and the other variable is a stand alone, it will become 0. If the other variable is the product to the variable being differentiated respectively, then its ignored and not made to be 0. Hope this helps :)

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[@abdulnazary1501]

TOCT, If you ever get a chance it would be a big help if you can make videos covering the unit calculus 3 (multivariable calculus). There are other videos on this subject, but the instructors do not teach the way you do. Thanks!

[@abdulrahmanibrahimalmahdy2794]

minute 13:14 why did we write (1/y) if its a constant and u mentioned before that if it is a constant we consider it a 0. and i just want to say u have a gift not a lot of people have to be able to simplify and explain hard topic u are an actual life saver

[@Hudsen_Lemar]

It's a constant multiplied by a variable. The rule is d/dx[cu]=cu', think of 5*(x²), the derivative would be 5*(2x) or 10x. Same thing here 1/y*(x²) becomes 1/y*(2x), he simply wrote it the other way as 2x*(1/y). If it was x²+1/y, then you are right it would become 2x+0. Hope that helps, best of luck

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on 12:05 you could also apply laws of logarithm whereby z=lnx^2 -lnY

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Thank you so much for helping me please can you make a video on the limit of multivariable

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i cant believe that i understand.... My story is in 8th grade, I had a math teacher who explained 1 time and gave me a task to solve, I solve, I show, she says it's wrong and sends me back without explaining where I'm wrong or how to do it... this happened 3/4 times I went, she sent me back and finally I got angry, I threw the notebook and left the room :D She left me for correction, I went to lessons, but I didn't learn anything, I was on an exam, I didn't do anything, then again and if the third time if it didn't pass I would stay in the same class. So my mom went and talked to the other math teacher at the same school to help me and the woman just dictated what to write and I passed. Well, since then I hated math, but now I have math at university and I'll have to try again and I watch a lot of videos, but this boy does it exceptionally well, I'm amazed that I understand something.congratulations, you are THE BEST teacher, thank u! :)'

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your videos are awesome but can you upload videos for calculus used in physics

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Oh my God! You made partial derivatives so easy for me to understand. You are simply AMAZING!! WOW!!!

[@j.padilla309]

Hi, Why some constant, you leave them as it is, and some you derive them to 0. I am confused. Thanks.

[@hideyoshi4794]

You leave them when the constants are next to each other without a + in-between , if it's alone you derive it to 0. I hope you understand and Sorry for the late reply :)

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I need a lesson about maximum and minimum for function of two variables

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[@somalilanderman6429]

For the first example When we were finding fy? What is the reason that 7 x.squered become =0??????

[@markcross109]

There's no "y" variable in that term, and we know that differentiation can extend until you reach zero from y' to y^infinity.

[@somalilanderman6429]

@@markcross109 Thanks alot my freind💔

[@markcross109]

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2 years later and the video is still super useful..

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4 years later and the video is still super useful..

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6 years later... @@ABSayysO

[@khadijaayman2916]

7 years

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man, thanks so much! when you go back to show how and when to use product and quotient rule really helps

[@Tarheb]

16:00 where did you get that 2x+0 from?

[@thechickennugget524]

The 2x was obtained by taking the derivative of x^2, and since the y^2 is not attached to an x, the derivative of y^2 in this example is 0 (it gets treated like a constant)

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Me

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Engineering Mathematics I force me to learn this

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[@alpha_hyperion7156]

Examples Timestamp 1. 0:26 Answer: fx=2:32 fy=3:14 2. 3:38 Answer fx=4:33 fy=5:03 3. 5:16 Answer fx=7:30 fy=8:28 4. 8:47 Answer fx=9:13 fy=9:40 5. 10:00 Answer fx=11:35 fy=11:53 6. 12:08 Answer fx=11:30 fy=14:51 7. 15:12 Answer fx=16:28 fy=17:02 8. 17:13 Answer fx=18:37 fy=19:11 9. 19:33 Answer fx=20:18 fy=21:03 10. 21:27 Answer fy=23:44 fx=25:30 11. 25:50 Answer fx=28:30 fy=31:19 12. 31:42 Answer fx=32:28 fy=33:01 13. 33:20 Answer fx=33:55 fy=34:16 fz=34:40 14. 35:06 Answer fx=36:02 fy=39:00 fz:42:50 15. 43:11 Answer fy=44:21 16. 46:33 Answer fxx=47:47 fxy:48:09 fyy:49:13 fyx:49:41 17. 50:07 Answer fxyz=51:27 fyxx:52:40 18. 54:19 Answer fxy=54:57 fyx=55:30 19. 55:52 Answer fxyy=57:00 fyxy=58:25 fyyx=59:41

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