617
Naturally (lemmy.world)
submitted 8 months ago by to c/science_memes@mander.xyz
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[–] 20 points 8 months ago (3 children)

Any explanation for the mathematically challenged?

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  • [–] 44 points 8 months ago* (last edited 8 months ago) (3 children)

    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

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  • [–] 1 point 8 months ago (1 child)

    the only* non-zero function whose derivative is itself

    * except its multiples such as −2 𝑒𝑥, which are... just... uh... derivative works

    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

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  • [–] 11 points 8 months ago (2 children)

    The derivative of e^x is always e^x: https://www.youtube.com/watch?v=oBlHiX6vrQY

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  • [–] 2 points 8 months ago (1 child)

    how about derivative with respect to time instead of with respect to x?

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  • [–] 11 points 8 months ago (2 children)

     𝑒^𝑥^ 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.

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