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 - in other words, unaffected by derivation. The number 𝑒 is a constant (around 2.718) and the base of natural logarithms, hence the title.
* except its multiples such as −2 𝑒^𝑥^, 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 𝑦 = 𝑒^𝑥^ or 𝑥 = ln 𝑦, whose derivative in respect to 𝑦 is 𝑥 = 1/𝑦 (for 𝑦 > 0) or 𝑦 = 1/𝑥 (for 𝑥 > 0). Your interpretation is that the 𝑦-axis is non-existent or named differently, which is why I'd prefer the joke to say d/d𝑡 for less ambiguity, as @anothercatgirlsuggested.
She's going to find out he is stuck on on his E^x
e^x^celent
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 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 - in other words, unaffected by derivation. The number 𝑒 is a constant (around 2.718) and the base of natural logarithms, hence the title.
* except its multiples such as −2 𝑒^𝑥^, which are... just... uh... derivative works
Much appreciated!
https://i.kym-cdn.com/photos/images/original/000/913/758/a12.jpg
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
I wish I could say I commented this late at night or something, but nope I’m 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^
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 𝑦 = ⅟ₓ, right?
No e^x doesn't have a 'y' and so it also acts as a constant.
Oh, I was thinking of it as 𝑦 = 𝑒^𝑥^ or 𝑥 = ln 𝑦, whose derivative in respect to 𝑦 is 𝑥 = 1/𝑦 (for 𝑦 > 0) or 𝑦 = 1/𝑥 (for 𝑥 > 0). Your interpretation is that the 𝑦-axis is non-existent or named differently, which is why I'd prefer the joke to say d/d𝑡 for less ambiguity, as @anothercatgirl suggested.
Nobody
exp(x)the y-derivation!I love it
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:
𝑒ˣ
ᵈ⁄d𝑥
ℒ
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^
Math