Comment on Naturally
ChaoticNeutralCzech@feddit.org 3 weeks agoShe 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.
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
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.
I wish I could say I commented this late at night or something, but nope I’m just dumb lmao thanks
Illecors@lemmy.cafe 3 weeks ago
Much appreciated!