The derivative of e^x is e^x
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Illecors@lemmy.cafe 1 day ago
Any explanation for the mathematically challenged?
arschflugkoerper@feddit.org 1 day ago
ManeraKai@programming.dev 1 day ago
The derivative of e^x is always e^x: www.youtube.com/watch?v=oBlHiX6vrQY
teft@piefed.social 1 day ago
If you want to use exponents on the fediverse you have to enclose the entire exponent in carats like so without the spaces:
e ^ x ^
ex
anothercatgirl@lemmy.blahaj.zone 1 day ago
how about derivative with respect to time instead of with respect to x?
ChaoticNeutralCzech@feddit.org 1 day ago
𝑒^𝑥^ has been around since the 17^th^ century and it hasn’t changed since. Therefore, it’s a constant with respect to time and gets unceremoniously derived to 0.
anothercatgirl@lemmy.blahaj.zone 1 day ago
very nicely said, I agree
NobodyElse@sh.itjust.works 1 day ago
Well played!
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.
felsiq@piefed.zip 1 day ago
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
knomie@feddit.org 22 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.
felsiq@piefed.zip 14 hours ago
I wish I could say I commented this late at night or something, but nope I’m just dumb lmao thanks
Illecors@lemmy.cafe 1 day ago
Much appreciated!
cRazi_man@europe.pub 1 day ago
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