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Naturally (lemmy.nz)
submitted 10 months ago by themaninblack@lemmy.world to c/science_memes@mander.xyz
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[-] ChaoticNeutralCzech@feddit.org 44 points 10 months ago* (last edited 10 months ago)

She is derivation, a transform of functions that describes rate of 𝑓(π‘₯) changing as π‘₯ changes. (This can be represented visually as the slope of the graph 𝑦 =β€‰π‘“β€Š(π‘₯).) He is the exponential function 𝑒^π‘₯^, which is the only* non-zero function whose derivative is itself - in other words, unaffected by derivation. The number 𝑒 is a constant (around 2.718) and the base of natural logarithms, hence the title.

* except its multiples such as βˆ’2β€Šπ‘’^π‘₯^, which are... just... uh... derivative works

[-] Illecors@lemmy.cafe 6 points 10 months ago

Much appreciated!

[-] felsiq@piefed.zip 1 points 10 months ago

the only* non-zero function whose derivative is itself

* except its multiples such as βˆ’2β€Šπ‘’π‘₯, which are... just... uh...Β 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

this post was submitted on 08 Nov 2025
618 points (99.0% liked)

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