620
Naturally
(lemmy.world)
She's going to find out he is stuck on on his E^x
e^x^celent
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.
The result is π¦β=ββ β, right?
No e^x doesn't have a 'y' and so it also acts as a constant.
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.
yayaya, or in other cases like multiple independent variables, I'm not sure because it's been 6 years since I took calculus
The general form would be implicit differentiation! d/dx dx/dy e^x = e^x dx/dy
It's nice to see memes like this and be surprised that I don't actually forget all of the calculus I ever learned
For me all that calculus I did has not been used in life ever afterwards. :)
Any explanation for the mathematically challenged?
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
Much appreciated!
the only* non-zero function whose derivative is itself
* except its multiples such as β2βππ₯, which are... just... uh...Β derivative works
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
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 Iβm just dumb lmao thanks
The derivative of e^x is e^x
The derivative of e^x is always e^x: https://www.youtube.com/watch?v=oBlHiX6vrQY
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^
how about derivative with respect to time instead of with respect to x?
βπ^π₯^ 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.
Well played!
very nicely said, I agree
Couldn't figure out how to do superscript. But you know I watch 3b1b. I'm not sure if this meme actually fits though.
Here, have this:
πΛ£
α΅βdπ₯
β
Even plain text textboxes can do fun stuff if there is good Unicode support
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.
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.
Carats on both sides of the exponent so ^ x ^ but without the spaces. e^x^
I love it
Math
this post was submitted on 08 Nov 2025
620 points (99.1% liked)
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