Implicit Function Theorem

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In this short video I derive the implicit function theorem by setting the differential of a two variable function equal to zero.

Erratum: The final line should read "dy/dx."
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This was very helpful. I could not figure out where the negative sign came from because my math book sucks

MitchellBadger
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Wow I didn't know differentials form a group under multiplication. What does 1/dx mean?

levels
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Bro, if you are going to use dx as a real number to make a quick video, which is already misleading, at least check the symbols you are writing. "==" its not the same as "=>" (you wrote 0 = F(x, y) = dF ... which doesn't make any sense) and also you wrote dy/dy at the end.

juancarlosmorales
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What's the target audience for this? There's no rigor here at all

zaccandels
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The last line you wrote dy/dy instead of dy/dx 😡😡🤬🤬🤬😠🤬🤬😠😡

wesseltencate