She is derivation, a transform of functions that describes rate of π(π₯) changing as π₯ changes. (This can be represented visually as the slope of the graph π¦β=βπβ(π₯).) He is the exponential function π^π₯^, which is the only* non-zero function whose derivative is itself - in other words, unaffected by derivation. The number π is a constant (around 2.718) and the base of natural logarithms, hence the title.
* except its multiples such as β2βπ^π₯^, which are... just... uh... derivative works
A constant and e^x were walking down the street. They see a differentiator coming, and instantly the constant gets scared shitless. The differentiator comes up, and as expected, POOF, the constant is gone. e^x starts laughing and says "nice try, can't touch me". But the differentiator tips his hat and responds "is that right?", then throws off his coat and shows that he is d/dy.
Oh, I was thinking of it as π¦β= π^π₯^ or π₯β= ln π¦, whose derivative in respect to π¦ is π₯β= 1/π¦ (for π¦β> 0) or π¦β= 1/π₯β(for π₯ > 0). Your interpretation is that the π¦-axis is non-existent or named differently, which is why I'd prefer the joke to say d/dπ‘ for less ambiguity, as @anothercatgirlsuggested.
26 Comments
KurtVonnegut@mander.xyz · 42 pts · 284d
She's going to find out he is stuck on on his E^x
brokenwing@discuss.tchncs.de · 7 pts · 284d
HootinNHollerin@lemmy.dbzer0.com · 25 pts · 284d
e^x^celent
prole@lemmy.blahaj.zone · 20 pts · 284d
It's nice to see memes like this and be surprised that I don't actually forget all of the calculus I ever learned
1984@lemmy.today · 2 pts · 283d
For me all that calculus I did has not been used in life ever afterwards. :)
Illecors@lemmy.cafe · 20 pts · 284d
Any explanation for the mathematically challenged?
ChaoticNeutralCzech@feddit.org · 43 pts · 284d
She is derivation, a transform of functions that describes rate of π(π₯) changing as π₯ changes. (This can be represented visually as the slope of the graph π¦β=βπβ(π₯).) He is the exponential function π^π₯^, which is the only* non-zero function whose derivative is itself - in other words, unaffected by derivation. The number π is a constant (around 2.718) and the base of natural logarithms, hence the title.
* except its multiples such as β2βπ^π₯^, which are... just... uh... derivative works
Illecors@lemmy.cafe · 6 pts · 284d
Much appreciated!
cRazi_man@europe.pub · 3 pts · 284d
https://i.kym-cdn.com/photos/images/original/000/913/758/a12.jpg
felsiq@piefed.zip · 1 pts · 283d
I think you forgot about e^x + 1, and e^x + 2, and β¦ β¦
(My profs always dunked on me for forgetting the + c and I canβt resist doing it to someone else, Iβm sorry)
For real tho, great explanation
knomie@feddit.org · 6 pts · 283d
felsiq@piefed.zip · 2 pts · 283d
I wish I could say I commented this late at night or something, but nope Iβm just dumb lmao thanks
arschflugkoerper@feddit.org · 16 pts · 284d
The derivative of e^x is e^x
ManeraKai@programming.dev · 10 pts · 284d
The derivative of e^x is always e^x: https://www.youtube.com/watch?v=oBlHiX6vrQY
teft@piefed.social · 12 pts · 284d
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 ^
e^x^
PartySlices@lemmy.world · 19 pts · 284d
Reminds me of a fun joke!
A constant and e^x were walking down the street. They see a differentiator coming, and instantly the constant gets scared shitless. The differentiator comes up, and as expected, POOF, the constant is gone. e^x starts laughing and says "nice try, can't touch me". But the differentiator tips his hat and responds "is that right?", then throws off his coat and shows that he is d/dy.
ChaoticNeutralCzech@feddit.org · 3 pts · 284d
The result is π¦β=ββ β, right?
Papergeist@lemmy.world · 22 pts · 284d
No e^x doesn't have a 'y' and so it also acts as a constant.
ChaoticNeutralCzech@feddit.org · 8 pts · 284d
Oh, I was thinking of it as π¦β= π^π₯^ or π₯β= ln π¦, whose derivative in respect to π¦ is π₯β= 1/π¦ (for π¦β> 0) or π¦β= 1/π₯β(for π₯ > 0). Your interpretation is that the π¦-axis is non-existent or named differently, which is why I'd prefer the joke to say d/dπ‘ for less ambiguity, as @anothercatgirl suggested.
ChaoticNeutralCzech@lemmy.ml · 3 pts · 283d
Nobody
exp(x)the y-derivation!abbadon420@sh.itjust.works · 11 pts · 284d
ChaoticNeutralCzech@feddit.org · 16 pts · 284d
Here, have this:
πΛ£
α΅βdπ₯
β
Even plain text textboxes can do fun stuff if there is good Unicode support
sartalon@lemmy.world · 4 pts · 284d
My favorite thing about Laplace and Fourier transforms was making a fabulous looking F and L.
Their functions are so fucking spectacularly useful, but I just loved writing it out.
ChaoticNeutralCzech@feddit.org · 2 pts · 283d
Mine too! I looked through all of Unicode and they don't have the awesome-looking L I know from college, only the "script" variant.
teft@piefed.social · 3 pts · 284d
Carats on both sides of the exponent so ^ x ^ but without the spaces. e^x^
mat@jlai.lu · 11 pts · 284d
I love it
Prontomomo@lemmy.world · 3 pts · 284d
Math