This video is awesome thanks @Krista King! @Mr TWIX that's cool I began to watch her videos 12th grade, now I'm a junior in college doubling in math and chemistry with plans to become a chemical engineer in the medicinal field. How do you like the job so far? Is it tough? Which field do you work in?
This young lady is a great educator! Her videos were very helpful for me, when I began studying towards my BSc in Computer Science (completed some years ago). It is great to have the Internet, and people such as Krista King in it. Thank you.
I know you may get this pretty often but, thank you! I'm simultaneously taking Math II (vectors and multivariable functions, integrals of two-three variable functions and this topic of this video right here) and Math III (multiple integrals) and your videos omg, they save me sooooooo much time! Your videos along Stewart's book is just such a powerful combo I don't even go to classes anymore haha, my teachers don't quite explain as amazing as you do!
Krista, your explanations are superb because you have so much clarity making things easy to understand, your video series are indispensable in my math education. You should start a donate page because you have been immensely helpful.
I wanted to extend my sincere thanks to you Krista Ma'am for helping me understand the basics of partial derivatives. I don't think anyone can teach so patiently unless they had passion towards the subject. Could you please help me with Taylor series?
Hey Adithya! I'm so glad the videos have been helping! I have several videos on Taylor series, here: th-cam.com/users/TheIntegralCALCsearch?query=taylor
Fantastic. She’s simply awesome educator. I just can’t believe how methodological her explanation is. She’s simply an asset for the education world 👍⭐️❤️
Madam, Fantastic.. you have taught the whole procedure in such a simple manner. The voice modulation is awesome. However, may I request that some computer based ouput is used instead of handwritten thing.. as the readability need to be better. Thanks once again for your guidance.
Hi Lixon! If you're interested, check out kristakingmath.com. And if you have any questions, you can always contact me at the bottom of that page as well. I look forward to helping! :)
Awesome! Question though. When you took the partial derivative of x^2 with respect to y, you treated the x^2 as a constant, and the derivative of a constant is 0. However, if there was another unknown (y) on the right hand side we would have left the x^2 alone. Thus, if we took the partial of several variables that are not included on the right hand side, would all other variables present be treated as constants and reduced to 0? Any information is helpful! Your videos are fantastic.
Hi Thomas! Yes, if you had a function abcd, and you're taking the derivative with respect to a, you'd treated b and c and d as constants. You always treat all the other variables as constants, no matter how many there are. :)
Integration can be partial the same way that partial derivatives are. If you take the integral of a partial derivative you get back what you had before taking the partial derivative of that original function. Remember this: integration is an adding machine while taking a derivative is a subtraction machine.
Can someone help clear my confusion? When taking deriv wrt x of f(x,y), sometimes we say y is a constant so replace y with zero. Other times we say hold variable y as constant (and instead of replacing y with 0, we write down the y. This is so confusing!!! Here is clear example of my question. @t
I often refer to this time as the"multi-physics revolution" . NASA started it with NASTRAN. In a nutshell, it's the ability to invent and design things where the physics or chemistry of one thing affects others. Such programs heavily implement partial equations. Software like COMSOL multiphysics or ANSYS are evolved versions of NASTRAN. Such programs are used to design F-35s, supercars, and flying cars They are essential for designing state of the art anything. Partial equations can be used to model physics and chemistry in "modular fashion" so things can be explored virtually generating invention and design opportunities. Where I live every month a transformer blows up. BANG! A program like COMSOL models how heating caused by electromagnetism with transformer casing affects oil fluid temperatures. High temperature affects the capacitance property transformer design depends upon maintaining for effective and safe operation. Hot oil generates bubbles (and gas) further increasing capacitance and in turn combustion risk. The ability to model the transformer allows us to see how physical and chemical forces of interest all affect one another. They may even bring into focus overlooked factors that were dismissed by conventional wisdom. Overall, partial equations helps build and design things that push the envelope.
A few days ago I was dealing with Hessian matrices, then I ended up with the partial derivatives:). It's pretty cool topic, and I wasn't sure how to visualize it till now.:) On a top of that, I've just understand the Young's theorem:D, Thank you!:) If you don't mind, I would like to ask you, does the (partial) integrals can work somehow in the same or similar way? And if so, how?:) I was wondering about that lately, but I'm not sure how to visualize it 'in space'. Thank you for your work!:)
I'm so glad you liked the video! :D To be honest, I haven't dealt much yet with Hessian matrices or Young's theorem, so you'd probably know better than me! :D
Thaaank you:), I do like watch your videos! It does really help a lot to understand everything:)! About the last part:), aaa I still need to do more practice to get everything crystal clear.:) - Then I may be able to make short videos to help others as well:). - #CalcIsAwesome:))
Good video. Only complaint (this is just from my perspective because I like everything neat and orderly) is the way you set up everything in the pyramid, combined with the *inevitable* sloppy computer handwriting made it kind of confusing to follow. But like I said earlier, great video it helped a lot!
Thank you for a nice and stepwise presentation. (Also checkout Tom Rocks) But pardon my nitpicking and please distinguish between SUBSCRIPTS and SUPERSCRIPTS. (You are not alone since many others don't distinguish either ) So please do not call the 2 of the d2f as d "squared". Here the 2 means the SECOND derivative and should be a SUBSCRIPT of d, UNLIKE the 2 of the dx^2 where the 2 is the SUPERSCRIPT of x and DOES mean x "squared" Again a nice and stepwise presentation.
partial f w.r.t. x = lim ( delta x -- > 0 ) [ f ( x + delta x, y ) - f ( x, y ) ] / delta x partial f w.r.t. y = lim ( delta y -- > 0 ) [ f ( x, y + delta y ) - f ( x, y ) ] / delta y for f ( x, y ) = xe^(xy) partial f w.r.t. x = lim ( delta x -- > 0 ) [ ( x + delta x)e^[(x + delta x ) * y ] - xe^(xy) ] / delta x partial f w.r.t. x = lim ( delta x -- > 0 ) [ e^(xy) * [ xe^(y * delta x ) + delta x ] - e^(xy ) ] / delta x partial f w.r.t. x = lim ( delta x -- > 0 ) [ xe^( y * delta x ) + delta x - 1 ] * e^(xy ) / delta x
When we go from single variable functions to multivariable functions, it's time for partial derivatives. :) Timestamps are in the description.
hey Krista, I have been watching your videos since i was in my freshman year in college. Now im a chemical engineer, thank you.
Aw I love that! Thanks for the comment. 😊
This video is awesome thanks @Krista King! @Mr TWIX that's cool I began to watch her videos 12th grade, now I'm a junior in college doubling in math and chemistry with plans to become a chemical engineer in the medicinal field. How do you like the job so far? Is it tough? Which field do you work in?
It was very supportive to me and other guys as well,I hope.
Thank you, kristina😊
And love your voice.
Hi Krista King, I was thinking if we could do a collaboration?
This young lady is a great educator! Her videos were very helpful for me, when I began studying towards my BSc in Computer Science (completed some years ago). It is great to have the Internet, and people such as Krista King in it. Thank you.
Thanks a million Krista, I did not get it in the class, the professor was too fast, you made it clear again.
You're welcome, so glad it helped!
With Krista everything is clear. We end up loving math.
U ROCK, UR EXPLANATION IS ON POINT, PARTIAL DERIVATIVES HAVE NEVER SEEMED EASIER
Oh good, I'm so glad everything's making sense! :D
Great explanation and a very calming voice I might add : )
I know you may get this pretty often but, thank you! I'm simultaneously taking Math II (vectors and multivariable functions, integrals of two-three variable functions and this topic of this video right here) and Math III (multiple integrals) and your videos omg, they save me sooooooo much time! Your videos along Stewart's book is just such a powerful combo I don't even go to classes anymore haha, my teachers don't quite explain as amazing as you do!
Krista, your explanations are superb because you have so much clarity making things easy to understand, your video series are indispensable in my math education. You should start a donate page because you have been immensely helpful.
I understood every bit of this video ...nice and calm approach for those who are just learning the basics
Thank you Krista. You expain very clearly.
You're welcome, Helicopter, I'm so glad the video made sense! :)
The best video for partial derivatives by far. Thank you Krista!
she turns my 6 hour study into 7 mins study
You are probably one of the best Maths teachers in the world.
60fps makes the video so pleasant to watch. Thanks for this guide! It helped me in understanding stuff for machine learning and neural networks.
You just helped me get through the wall I've hit recently in my studies. Thank you!
You're welcome, Dave, I'm so glad you got it figured out! :D
I wanted to extend my sincere thanks to you Krista Ma'am for helping me understand the basics of partial derivatives. I don't think anyone can teach so patiently unless they had passion towards the subject. Could you please help me with Taylor series?
Hey Adithya! I'm so glad the videos have been helping! I have several videos on Taylor series, here: th-cam.com/users/TheIntegralCALCsearch?query=taylor
You are *INCREDIBLE* !! Truly an inspiration, you made this look like 3rd grade math to me :) keep the videos coming, subbed to you!
Thank you so much, Supre! I appreciate the support! :)
i have been watching your vids for about 1 month and you are literally saving my academic future
Thanks, Khaled! So glad the videos have been helpful! :D
Fantastic. She’s simply awesome educator. I just can’t believe how methodological her explanation is. She’s simply an asset for the education world 👍⭐️❤️
I like her clear explanations,great.
WOW. I'm going to have to call my podiatrist, because that video just knocked my socks off! Thank you!
😂
So do partial derivatives tell you the slope of a function in the xy, xz, or zy plane?
I am speechless to complement you for the way you teach mathematics.even I suggested my freinds to watch your videos
Heads off to you Krista king ,👍
Thanks, Priyanshu, I appreciate you sharing my channel with your friends! :)
@@kristakingmath this is your gratitude
what a lovely and calming voice love it and great explanation
Can I get the link to the next video on partial derivatives.
When would you get answer -1 when calculating partial derivatives ?
Your explanation is very good, deep and simple, Thank you very much ⚘
You're welcome, N F! Glad you liked it! :)
This was a helpful crash course.
I wish my teacher was half as good as this lady she is excellent
Thank you so much. You sure covered a lot of ground, but very clearly and concisely.
wow... i did my assignment questions just only watching this videos... thank you very much for the video my dear...
Fantastic video! Keep it up!
Thank you!
very nice
is there stationary point on this function?? f(x,y) = x^2y ?
thank you krista king, you are an excellent tutor.
Thanks, Sabina! :)
Very well explained, thank you so much!
are on AoPS ? will you be doing an session on solving inequalities ?
I'm not on AoPS.
Madam, Fantastic.. you have taught the whole procedure in such a simple manner. The voice modulation is awesome. However, may I request that some computer based ouput is used instead of handwritten thing.. as the readability need to be better. Thanks once again for your guidance.
An amazing lecture
So enjoyable
wow u made the derivatives so sipmle to me....really appreciate
You're welcome, Gracious, I'm glad everything made sense! :)
The very first moments the video started and I HEARD YOUR VOICE i was like 😱❤️.
you are the best
you did for me last semester,hope u gonna blast me with A+ this time around
I hope so too! I'm so glad the videos have been helping so far! :)
Thank you Krista King,
I want to buy your online courses.....would you walk me through the steps that I have to take in order to do it?
Hi Lixon! If you're interested, check out kristakingmath.com. And if you have any questions, you can always contact me at the bottom of that page as well. I look forward to helping! :)
This was very clear and helpful, thank you so so much! Liked and subscribed! ^^
3e ki power -3x ko kaise solve karen
Awesome! Question though.
When you took the partial derivative of x^2 with respect to y, you treated the x^2 as a constant, and the derivative of a constant is 0. However, if there was another unknown (y) on the right hand side we would have left the x^2 alone. Thus, if we took the partial of several variables that are not included on the right hand side, would all other variables present be treated as constants and reduced to 0? Any information is helpful! Your videos are fantastic.
Hi Thomas! Yes, if you had a function abcd, and you're taking the derivative with respect to a, you'd treated b and c and d as constants. You always treat all the other variables as constants, no matter how many there are. :)
shouldnt f xy be 0? for x^y problem
You are more than excellent
thank you my upper division econ classes went straight to partial derivatives and i was so lost because ive never learned them before
You're welcome, Whale, I'm so glad I was able to help! :)
So does the idea of a « partial integral » make any sense?
After thinking about it for a bit I figured that no.
Integration can be partial the same way that partial derivatives are. If you take the integral of a partial derivative you get back what you had before taking the partial derivative of that original function. Remember this: integration is an adding machine while taking a derivative is a subtraction machine.
Hi, not really on topic ... but I really need a solution for the following differential equation:
y''=yb(x^2 +a^2)
Really thanks
عععلامك
Can someone help clear my confusion?
When taking deriv wrt x of f(x,y), sometimes we say y is a constant so replace y with zero.
Other times we say hold variable y as constant (and instead of replacing y with 0, we write down the y.
This is so confusing!!! Here is clear example of my question. @t
Thankyou. Very helpful . Well explain🙏
My pleasure 😊 I’m so glad you liked it!! 💪
Thank you Mrs. King
Glad it could help!
what is advantage of partial derivatives?
I often refer to this time as the"multi-physics revolution" . NASA started it with NASTRAN. In a nutshell, it's the ability to invent and design things where the physics or chemistry of one thing affects others. Such programs heavily implement partial equations.
Software like COMSOL multiphysics or ANSYS are evolved versions of NASTRAN. Such programs are used to design F-35s, supercars, and flying cars They are essential for designing state of the art anything.
Partial equations can be used to model physics and chemistry in "modular fashion" so things can be explored virtually generating invention and design opportunities.
Where I live every month a transformer blows up. BANG! A program like COMSOL models how heating caused by electromagnetism with transformer casing affects oil fluid temperatures. High temperature affects the capacitance property transformer design depends upon maintaining for effective and safe operation. Hot oil generates bubbles (and gas) further increasing capacitance and in turn combustion risk. The ability to model the transformer allows us to see how physical and chemical forces of interest all affect one another. They may even bring into focus overlooked factors that were dismissed by conventional wisdom. Overall, partial equations helps build and design things that push the envelope.
I found this video extremely helpful, but couldn’t ignore Mrs. Krista looks just like Adam Sandler! Haha
A few days ago I was dealing with Hessian matrices, then I ended up with the partial derivatives:).
It's pretty cool topic, and I wasn't sure how to visualize it till now.:)
On a top of that, I've just understand the Young's theorem:D, Thank you!:)
If you don't mind, I would like to ask you, does the (partial) integrals can work somehow in the same or similar way?
And if so, how?:)
I was wondering about that lately, but I'm not sure how to visualize it 'in space'.
Thank you for your work!:)
I'm so glad you liked the video! :D To be honest, I haven't dealt much yet with Hessian matrices or Young's theorem, so you'd probably know better than me! :D
Thaaank you:), I do like watch your videos! It does really help a lot to understand everything:)!
About the last part:), aaa I still need to do more practice to get everything crystal clear.:)
- Then I may be able to make short videos to help others as well:). - #CalcIsAwesome:))
Nice!...very good teaching method
Thank you so much, really appreciate it! :)
Great explanation. Thank you
You're welcome, Kidus! Happy to help! :)
Guys remember to crank it up to 4k@60fps for the full experience
Why did you stop making videos?
I've been busy working on other content for my courses, but I'm hoping to get back to making videos soon! :)
Great explanation.
Thank you so much!
great lecture helped me alot
Superb explanation😀😀
Great explanation!
Thank you, Harshani! :D
You are amazing! Thank you so much !
You're welcome, Drucila! :)
very informative
Thank You.
It's helpful.
Isn’t d2/dx2 y2exy/2
thank you
Thank u so much. was really helpful.
:D
your voice is what i imagine as i enter the gateways to heaven
If we dont thank god we're all gonna go-tta hell
Thanks
Good video. Only complaint (this is just from my perspective because I like everything neat and orderly) is the way you set up everything in the pyramid, combined with the *inevitable* sloppy computer handwriting made it kind of confusing to follow. But like I said earlier, great video it helped a lot!
Glad it still helped! :D
why is e^xy stay the same
I got no much to say...but wow..teaching is your birthmark this is really good
Thanks Sontaga 😊
Thank you ma'am
You're welcome, George! :)
excellent professor, thx
It helps me a lor thanks
thank you so so much!!!
You're welcome, Jahnavi!
great teacher
I was running this video at speed 2 you dont need to explain how to blink an eye but any ways good work
u r the best!
FINALLY, A HIGH LEVEL MATH VIDEO IN HD, 4K @ 60FPS nonetheless
blesssssssss
pls do linear algebra ;__;
it's all fun and games until you get something like : f(x,y,z):=sin(xy+z)e^(yz^2).
Nice video through, thumbs up!
0:14 we all know how to take derivative of a single function .......i dont even know that and i have a exam tommorow , i amd as good as dead
You can still get it figured out... I'll be rooting for you!
thanks Mam .
thank you!!
You're welcome!! :)
GREAT video
Thanks, Josh! :D
i love you you saved my life thank you so much XDDDD
You're welcome, Dan! I'm so glad it helped! :)
thank you :)
My real professor is Krista King.
I fucking love u !!! thank you from Mexico !! :)
Arriba Mexico chingao
Please change your name to queen because you are the best!!!!!!!!
thank yoooou!!!!!!!!!
You're welcome! :D
Thank you for a nice and stepwise presentation. (Also checkout Tom Rocks)
But pardon my nitpicking and please distinguish between SUBSCRIPTS and SUPERSCRIPTS. (You are not alone since many others don't distinguish either )
So please do not call the 2 of the d2f as d "squared".
Here the 2 means the SECOND derivative and should be a SUBSCRIPT of d, UNLIKE the 2 of the dx^2 where the 2 is the SUPERSCRIPT of x and DOES mean x "squared"
Again a nice and stepwise presentation.
I heard X cute ❤️❤️❤️ 0:48
Thanks alot bbe
partial f w.r.t. x = lim ( delta x -- > 0 ) [ f ( x + delta x, y ) - f ( x, y ) ] / delta x
partial f w.r.t. y = lim ( delta y -- > 0 ) [ f ( x, y + delta y ) - f ( x, y ) ] / delta y
for f ( x, y ) = xe^(xy)
partial f w.r.t. x = lim ( delta x -- > 0 ) [ ( x + delta x)e^[(x + delta x ) * y ] - xe^(xy) ] / delta x
partial f w.r.t. x = lim ( delta x -- > 0 ) [ e^(xy) * [ xe^(y * delta x ) + delta x ] - e^(xy ) ] / delta x
partial f w.r.t. x = lim ( delta x -- > 0 ) [ xe^( y * delta x ) + delta x - 1 ] * e^(xy ) / delta x
Vou justificar tudo em inglês, I'm treinado.....
Me starting to focus and so into the topic
Ads: show up
Me: Urghh...B!tch move😒