❖ Finding the Potential of a Conservative Vector Field, Example 2 ❖

🔍 Unlock the Secrets of Conservative Vector Fields! Example 2 🔍
In this video, we explore the fascinating topic of finding the scalar potential for a conservative vector field. Understanding this concept is essential for anyone studying vector calculus or physics.

What You’ll Learn:
Defining Conservative Vector Fields: Recall for a vector field 𝐹 to be conservative we have a scalar potential function 𝑓 so that the following is satisfied: ∇𝑓 = 𝐹

Step-by-Step Process: Follow along as I demonstrate the method for finding the scalar potential 𝑓 We’ll integrate the partial derivatives of the vector field and make important observations along the way.

Why Watch This Video?
Clear Explanations: I break down complex concepts into easy-to-understand segments, perfect for both beginners and advanced students.
Boost Your Skills: Enhance your mathematical toolkit and confidence in tackling calculus problems involving vector fields.
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[Acampuzano]

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[haiderthe_worlds_citizen]

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[reemmustafa]

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[patrickjmt]

i hope the vids help - i have a lot of stuff related to first semester calculus, with only a couple of topics missing (i think)!

my advice: read the book and watch a video BEFORE class. you will understand much more this way!

[greendayxgrl]

ive been reading stuff online and watched like 10 vids before i found yours and now i 100% know ill get this type of problem right on my exam <3 Your videos are seriously life.

[JakeMcBain]

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[blackbozza]

I attended the full lecture (50 minutes) and didn't understand anything, but with you, only 8 minutes was enough...Thanks a lot.

[grupocelebremos]

I have an exam in two hours and this video help me to figure out the process better in 10 mins than 2 months of class, thank you.

[jam]

Trick for finding potential that makes it wayyy faster. Integrate P(x)dx, Q(y)dy, R(z)dz independently. Then take those answers and combine them counting the common terms from each ONLY ONCE. Throw a +k or +c or w/e constant letter u fancy and done! Can do this problem in under a minute.

[thefieldscarecro]

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[rakeshjoshi]

Clearly and logically Love from india sir 🙏

[patrickjmt]

one of the rare ones that actually miss math!
happy u enjoy my boring videos ; )
happy holidays to you too!

[maxhudson]

Awesome explanation. Very nice how you equate Fy to Fy in the two different contexts.

[patrickantar]

I found this way a bit confusing.
I'd just rather integrate each term of F with respect to x, y, z respectively and then add the individual resultant terms each once and then add a C.
Bam!

[miss]

you. just. saved. my. life. sir.
thank you much from the bottom of my heart

[veeds]

you are a literal god. thank you so much for this. you are monumentally better than my college calc professor. 

[teaturtle]

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[harithzaid]

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[zanydivine]

THANK YOU THANK YOU THANK YOU. it took me 2 hours to get it but now i understand all thanx to you.