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ChaoticNeutralCzech@feddit.org ⁨1⁩ ⁨day⁩ ago

She is derivation, a transform of functions that describes rate of 𝑓(𝑥) changing as 𝑥 changes. (This can be represented visually as the slope of the graph 𝑦=𝑓(𝑥).) He is the exponential function 𝑒^𝑥^, which is the only non-zero function whose derivative is itself.

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felsiq@piefed.zip ⁨1⁩ ⁨day⁩ ago

the only* non-zero function whose derivative is itself

* except its multiples such as −2 𝑒𝑥, which are… just… uh… derivative works

I think you forgot about e^x + 1, and e^x + 2, and … …

(My profs always dunked on me for forgetting the + c and I can’t resist doing it to someone else, I’m sorry)

For real tho, great explanation

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- knomie@feddit.org ⁨21⁩ ⁨hours⁩ ago
  But the derivative of e^x+c is just e^x (which for c!=0 is not the same). That’s why the +c is added during integrating because all +c is derived to 0 and thus indistinguishable.
  
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  - felsiq@piefed.zip ⁨12⁩ ⁨hours⁩ ago
    I wish I could say I commented this late at night or something, but nope I’m just dumb lmao thanks
    
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Illecors@lemmy.cafe ⁨1⁩ ⁨day⁩ ago
Much appreciated!

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cRazi_man@europe.pub ⁨1⁩ ⁨day⁩ ago
i.kym-cdn.com/photos/images/original/…/a12.jpg

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