Chain rule for partial derivatives of multivariable functions (KristaKingMath)
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- เผยแพร่เมื่อ 2 ต.ค. 2013
- ► My Partial Derivatives course: www.kristakingmath.com/partia...
Learn how to use chain rule to find partial derivatives of multivariable functions.
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If you could use some extra help with your math class, then check out Krista’s website // www.kristakingmath.com
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Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)
Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”
So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student-from basic middle school classes to advanced college calculus-figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here: www.kristakingmath.com
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That makes me happy! I'm so glad I can help along the way! :)
I hit a mental block trying to understand this chain rule for the past few hours. Books were useless and I nearly gave up. Then came across your suggestion to use a tree to write out the individual variables. I can't believe I have now finished all exercises involving this chain rule for partial derivatives of multivariable functions part. Thank you so much.
This Tree Method to solve these complex Derivatives is OSCAR WINING METHOD
💯 💯
you are such an inspirational teacher and it helps that your voice is smooth as silk
your voice is so nice that it makes multidimensional calculus so easy to understand
That was 2 hours worth of lectures in 15 minutes. Thanks loads!
I'm so glad it helped! :D
If only one could like and subscribe more than once. You are one of my favorite youtube teachers.
You don't find such well explained videos these days, very well done and thanks.
Thanks, Sebastian!
@@kristakingmath i like your voice.
Thanks a million... you've explained abstract stuff in a realistic manner. helped me a great deal
You're welcome, I'm so glad it helped!
I have always struggled whit how to set up the chain rule under different conditions and had never seen the tree-trick. I am shore that will help me a lot in the future. Thanks for the grate video
+jovaha You're welcome, I'm glad it helped!
hello shore, I'm ocean.
**waves**
That tree trick is so killer! much better than memorizing anything. Thank you so much for this video!
+TheCarbonMirror I agree, you're welcome!
awesome lecture and VOICE....yes, your voice is so pleasing to hear and you make your lectures so easy to comprehend. I thank you so much for sharing your knowledge with us that cannot afford to pay lol, but true.
you are just so clear, until now, dint realize that this was actually simpler than the books put it. thankyou Krista!
you're welcome!
OMG you explained so clearly!! Do you have videos on all Calculus 3 topics? This is life savior lol
yes she do.
This is excellent. I love how it didn't only teach how to crunch it out, but that you actually explained why.
Thanks Ahmed!
Your teaching is so good. Thank you!
You ma'am, are my hero. I had no idea what my professor was going on about. Thank You!
+Aaya Khalid I'm glad I could help!
Amazing explanation. I was very confused by the different cases and didn't understand the differences in variable dependence until seeing this.
Thank god for Krista King, without you people with crappy professors would be screwed all around
everytime I go on you tube you have a video that is going over Exactly what we are in class I have hw over chain rule derivatives today :)
Without you I would have failed my midterm indefinitely but I earned a solid A with you videos. I really hope you continue to make more because you are very much appreciated!!!
+Arianna Manabat Awww thank you so much! Congratulations on such a good grade, I'm so happy for you!!
It's so wonderful and kind of you to share your math expertise with the world! Your videos are amazing! I can't wait to watch all of them over winter break just because they're so great! Thanks again! I'm taking linear differentials next semester. Do you have any videos on this topic? That would be neat-o! You're such a great teacher and you have a wonderful energy when you present things please never stop! :-)
that little chalk is soooo cute. it makes learning math 1000x more enjoyable LOLOL
thank you for the clear explanation!
Thank you so much! You are a fantastic prof!
Thank you so much for the explanation. You're a lifesaver!
Your videos are educationally awesome 😁
VERY helpful. exactly what I needed.
many thanks
Thank you!!! The tree diagram really cleared things up for me.
Everything is so clear. All your videos are great, thanks!
You're welcome, I'm so glad they're helping!
Wow you explained it so clearly thank you so much, keep on doing more videos like this.
Thanks so much for sharing these with your students, I really appreciate it!! :D
This is still helping years later! Exam on this tomorrow.
underrated. you're amazing krista
I think I'm pretty lucky that my professor is really good, but your videos make the sections so much more understandable. Thank you! :-D
amazing maam,, just started partial differentiation, the concept of partial differentiation of composite functions and total differentiation is awesome. loved it.. 😇
So clear and simply. I wish I could have liked this video ten times. Thank you so much.
Aw thanks Natalie! I still really appreciate the 1 like. Glad it could help! :D
Mam you are good maths teacher❤😊
Clear and concise.👍
You make so much sense! Thank you so much!
nothingiskool You're welcome, I'm so glad it helped!
Very clear explanation. Thank you very much.
+Jhonatan Becerra You're welcome, I'm so glad you liked it!
Thank you! for the wonderful explanation. Helped me a lot.
+Relson Deo So glad I could help!
Excellent video, many thanks!!
You're welcome, Tara, I'm happy to help! :)
I like your way of teaching really you did your best thanks
Totally understood everything! Thanks a lot! :D
Madhujita Ambaskar I love you
the trick with the tree is amazingly powerful and simple. thank you very much :)
It helps me too! :) Glad you liked it.
Flawless explanation!!
Aw thanks! I'm glad you liked it. :)
I really like your explanation, it's very clear
Thank you!
THANK U SO MUCH!!!!!!!!!!!!!!!!!!!!!!!!!! THANK YOU ANGEL ! U MADE MY LIFE A BETTER ONE!
Thank you for these superb videos! Really enjoying them.
You're welcome, I'm so glad you're enjoying them! :D
Only of my teachers as good as you...I would ace my every stupid exam...Very good job..Keep going!
I'm so glad I can at least help through the videos! :)
I'm not taking the class anymore....but a run a community college math center. Your plane and easy explanations are being passed on to my students. Thanks. Some things I know...I can't explain simply. :)
thankssssss.....it's well explained
Good explanation.
The tree diagram really helped a lot, I haven't seen it before. Thanks for the great video! :)
+Sidd B Thanks! I really appreciate the comment.
YOU ARE A FANTASTIC TEACHER!
MY COMPLIMENT
You are amazing! Thank you!!!!!!
Great video! My prof flew through this material in the last 5 min of lecture. Thanks!
You're welcome, I'm happy to help! :)
This is the best way to solve with multi variable chain rule. I like the the tree diagram it solves everything! Great job! Keep it up.
Thanks, Mohammed! I love the tree diagram too! :D
finally I understand it. Thank you
Thank you, you just saved my semester :D
your voice is so calming:) thanks for the vid~!
You're welcome!
Thank you!
Very helpfull. Thanks
thank u teacher you have save my lot of important time .......
So glad I could help! :)
love your videos🖤
Thank you so much! You explain everything so clearly. Good job!
Thanks, I'm glad it helped!!
integralCALC I wish they would just fire all the math teachers and instead show your videos in math courses.
Thank you babe for clear explanation ;)
I'm glad I can help! :)
This is so awesome.the best explanation ever...keep it up
marvin tosh Thanks!
welcome... keep it up
complete, clean, very good exposition; congratulations! Suggestion: do a video on partial derivative properties, like the cyclic rule.
Thanks for the suggestion Alexandre! :)
Wow it helped me a lot. Thanks for your excellent teaching skills :)
+Syed Ali Abbas I'm so glad it helped!
Really impressed ,
I just like the way you explain. Wonderful. will get Ds
Thank you, it helped a lot
Glad I could help! :D
thank you very much, now all of it makes sense to me
+Phanindra Varma Awesome!
Very nice job. After following you through the case 1 and then explaining that there were two solutions to the second, I was able to do the second one before verifying it with the video. The tree really helps! Thanks!
Awesome! Great job, I'm so glad this helped!! :D
Well done. That was a good, clear explanation
+Brad Krupp Thank you very much!
You make this so clear! Impressive. I wish you were my calc teacher...
Aw thanks! I'm glad I can help!
Cheers from New Zealand!
Really good one!
Thanks!
This video is helpful for me
Gracias!!, es parecido al problema que necesitaba resolver. Es una excelente aportación.
thank u soooo much .. finally i understood this lesson which i couldnt for three lectures .. thx 2 u ..
Yay! I'm so glad I could help. :)
very very helpful video...please keep it up
Thanks, Cameron, I'm so glad it helped! :D
you are a good teacher, Very Meticulous !
Aw thanks Corey!
thank you
Aha, now I see why sometimes it is dx/dt and sometimes partial dx/dt. Simple when you know, but thanks for telling me! Great video.
14:38 You can go twice as fast by noting that r and theta are symmetrical with respect to s and t. (s and t can be interchanged without affecting the formulas for r and theta) So, once you have partial (z/t) you can get partial (z/s) by swapping t and s, so partial (z/s) = partial (z/t)[t s]
(I only saw that when I saw both end results, then I figured out why that is)
great job
Awesome, clear, 10/10
Thank you!
Yes, I would definitely recommend the academy, especially for calc 2. Differential equations is more of a work in progress at the moment. If you go to my website, you can now sign up and try the courses for free. :)
Well explained good job
+mrwatchuknow Thanks!
These videos are a huge lifesaver. Question about the second example: At the end, shouldn't we substitute r and theta with their values at the end?
Thanks
you just save my Life as allwayes,tnx for this video
Farhad Farkish you're welcome, i'm so glad it helped!
Thanks Again
this channel is too good to be true...
It takes time. :) The chalk is replacing the cursor. I explain how I create my videos here: integralcalc . com/how-I-create-my-videos/
Great video!
Thanks, Ramon! :D
best explanation