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Naturally (lemmy.nz)

submitted 10 months ago by themaninblack@lemmy.world to c/science_memes@mander.xyz

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[-] Papergeist@lemmy.world 22 points 10 months ago

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

[-] ChaoticNeutralCzech@feddit.org 9 points 10 months ago* (last edited 10 months 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.

[-] anothercatgirl@lemmy.blahaj.zone 2 points 10 months ago

yayaya, or in other cases like multiple independent variables, I'm not sure because it's been 6 years since I took calculus

[-] MOCVD@mander.xyz 2 points 10 months ago

The general form would be implicit differentiation! d/dx dx/dy e^x = e^x dx/dy

this post was submitted on 08 Nov 2025

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