Exact Equations Intuition 1 (proofy)

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Uploaded by on Aug 30, 2008

Chain rule using partial derivatives (not a proof; more intuition).

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Top Comments

  • hey khan, marry me?

  • Shut up, it makes no difference what notation for the function is. or how its pronounced!!!

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All Comments (33)

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  • Why is the dy/dx necessary at the end when finding the derivative of the multiplied functions? I don't remember writing it when using that rule.

  • Differential Equations usually comes after Multivariable Calculus, where partial differentials is fully covered. I believe this set of videos is fine without the partial differentials review. Nice work, as always Khan! <3

  • @MrNoturaveragerednek Differential equations are mostly used in physics in engineering. Basically it's very useful when working with objects in perpetual movement. The car you drive, the satellites that allows GPS to function and much more were designed much more effectively because of differential equations.

  • I never understood algebra, or calculus or Trigonometry or whatever rocket science math this is supposed to be, who the hell uses this stuff in real life anyway?

  • Thank you Sal!!! :)

  • SIR i literally have no words to how much you are helping us students ! God bless you !

  • @RecLuseGurL91 You're not "stupid" for not knowing this stuff. Your educational background's just short in the area. You'd only be "stupid" if you rejected knowledge.

  • @JohnNumberThree Yes, it's multivariate and it doesn't take much to check...the function Psi depends on y AND x. Hence, there's more than one variable = multi. I'm no expert on this either but as far as I can tell he's taking the total derivative: the function depends directly on x and indirectly on x through y.

  • psy function , we can replaced with another function " to make it easier psy looks scariness " just for that

  • I had to view this video 5 times before I noticed that y is a function of x -.-

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