this post was submitted on 08 Nov 2025
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Science Memes

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[โ€“] Illecors@lemmy.cafe 20 points 1 day ago (13 children)

Any explanation for the mathematically challenged?

[โ€“] ChaoticNeutralCzech@feddit.org 44 points 1 day ago* (last edited 1 day ago) (5 children)

She is derivation, a transform of functions that describes rate of ๐‘“(๐‘ฅ) changing as ๐‘ฅ changes. (This can be represented visually as the slope of the graph ๐‘ฆโ€‰=โ€‰๐‘“โ€Š(๐‘ฅ).) He is the exponential function ๐‘’^๐‘ฅ^, which is the only* non-zero function whose derivative is itself - in other words, unaffected by derivation. The number ๐‘’ is a constant (around 2.718) and the base of natural logarithms, hence the title.

* except its multiples such as โˆ’2โ€Š๐‘’^๐‘ฅ^, which are... just... uh... derivative works

[โ€“] Illecors@lemmy.cafe 6 points 1 day ago

Much appreciated!

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