potential function of a conservative vector field (KristaKingMath)
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- Опубліковано 3 гру 2014
- ► My Vectors course: www.kristakingmath.com/vector...
In this video we'll learn how to find the potential function of a conservative vector field.
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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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Just in time for my calculus 3 test in 30 minutes. Thank you!
Your videos have helped me since calculus 1!!
I hope the test went well!
Did the test go well?
@@KirinIchiban I got my engineering degree and have been a working professional 5 years this month :D
@@bman8540 so dope !
Currently 2 AM studying for a test about this and line integrals! Thanks for the videos!
You're welcome, Alex! Good luck on the test, I hope it goes great!! :D
You're the best. I wish part of tuition will be pay to you.
How can you be so clear & understandable? These are awesome!
+nipunasudha Thank you so much!
Comment leaver here, this was extremely helpful, the way my calc 3 professor explained this idea was very confusing and full of "matching". While your explanation was clear and concise and helped me understand the theory and steps behind the problem. Anyways, thank you for posting this video.
Thank you so much for letting me know, I’m so so glad it helped!! ❤️❤️
Ma'am you saved the day! Thanks a lot.👍
You should be named "The Queen of Math". Thanks for those wonderful explanations.
+Brayen Zar You're welcome, I'm glad they're helping!
Thank you so much. Finally learned how to find the potential function after having watched 1000 videos
You're welcome, so glad it helped!
does the curl method for find if F is conservative always work? or does it only work for 2d vectors?
Amazing class! Despite the fact that I was understanding "scary crow" instead of scalar curl...ehehe....but please do not take it too seriously, I am not a native english speaker. One of the best classes I have ever taken on this subject!
Of all of my Calc III lectures, this is the one I missed. As soon as I saw the condensed explanations my calculus books, I came straight to your channel. Thank you again for a wonderful explanation! So clear and concise.
Love that! I'm glad I could help fill in the gaps. :D
thanks krista!!
Thank you so much ❤️, greetings from a Namibian math major student. My gosh you make life easier 😂😅. Thank you once again 😊.
You are so welcome, Maria, I'm glad I'm able to help! Best of luck with completing your math degree, keep up the good work! :D
thank you sooooo much!!!
Thanks so much Krista, I have fully understood. Please may the good Lord bless u so much. Really, so much , so much.
Thank you! I'm so glad everything made sense! :)
thank u very much!
Greetings from an austrian engineering student! :)
Hi Peter! I'm so glad it could help. Thanks for the comment. :)
you are the best in math , Thanks my teacher ... !!
Well thank you very much, I'm glad you're enjoying the videos!
Thanks really İ Like it too much
So what happens if say g'(y) = y^3 ?
great video. thank you very much. your videos really help. however, as a stickler on notation F is a vector please use instead of (, , ,) to show it is a vector
@Iphone 3G is showing that it is a vector while (,,) shows that it is a point
excellent
there is a much easier way to do this, but i only found out from a youtube comment in some other video from like 8 years ago
integrate each portion of the vector field respectively so like for the (ye^x + siny) component integrate with respect to x and then for the other portion with respect to y
if you get repeated numbers just use one of them
add all your numbers together and add a + C
heres the comment: For anyone wondering, there's a much easier way to do this. Simply integrate each component of the vector field F by dx, dy, dz respectively, and the potential function is a combination of each unique term (i.e. if there are two terms that are the same, don't add them, just use one of them in the potential function).
Funny enough I came to this video to figure out the specifics of that exact comment, thanks for using the example from the video as reference!
@@PrepaidClaw tbh i completely forgot everything from calc 3😭 i just took my algebra final today tho so shit im still fresh on that
@@PrepaidClaw but it’s weird how when you’re on such a niche side of youtube you find relevant comments on different videos
how would we solve this if a third point was involved? ex: F(x,y,z)
How do you find f(x,y,z)?
I one day too hope to be Math Jedi
Where is @Ronnie Byrd? Is he safe? Is he alright?
@Brent nope
@@Bartekkru100 yeah man. Stoked about the election and looking forward to 202. Gonna be some real fireworks to top 2020!
How are you holding up?
@@ronniebyrd4618 Not American, but happy with the outcome anyway.
YEAAAAAAAAAAAAH
Finally some good fucking channel that explains this topic well, thanks a fuckton
5:11 undefined if ln 0 or less than 1? you meant less than 0?
why we dont need to integrate e^x which is equal to 1/x e^x?
The integral of e^x is still just e^x. There's no 1/x when you integrate.
You made it as a sample as flowing water
Should the potential function always have a constant?
ohhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
ty :)
You're welcome, Mark! :D
Good food = Good brain
Late to the party, but isn't this suspiciously similar to solving an exact differential equation? I ask because I'm taking MV calc and differential equations/inf. series at the same time haha
Thank you! Have you left UA-cam? :(
You're welcome, Name! I haven't left, I've just been busy with other projects. :)
F is a vector not a coordinate point
you talk to Quick you don't give us time to think about what you're saying
Pause button, rewind bonehead