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submitted 1 week ago by themaninblack@lemmy.world to c/science_memes@mander.xyz

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[-] PartySlices@lemmy.world 21 points 6 days ago

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@lemmy.ml 3 points 6 days ago* (last edited 6 days ago)

Nobody exp(x) the y-derivation!

[-] ChaoticNeutralCzech@feddit.org 3 points 6 days ago

The result is 𝑦 = ⅟ₓ, right?

[-] Papergeist@lemmy.world 24 points 6 days ago

No e^x doesn't have a 'y' and so it also acts as a constant.

[-] ChaoticNeutralCzech@feddit.org 9 points 6 days ago* (last edited 6 days ago)

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.