Is there an ambigram for the derivative and integral of e^x?
回答 (2)
2018-07-25 4:25 pm
There is no ambiguity for the derivative and integral of e^x.
Derivative:
d(e^x) / dx = e^(x)
Integral:
Since d(e^x) / dx = e^(x)
Then d(e^x) = (e^x) dx
Interchange the two sides: (e^x) dx = d(e^x)
Take integration on the both sides: ∫(e^x) dx = ∫d(e^x)
Hence, ∫(e^x) dx = (e^x) + C
Derivative:
d(e^x) / dx = e^(x)
Integral:
Since d(e^x) / dx = e^(x)
Then d(e^x) = (e^x) dx
Interchange the two sides: (e^x) dx = d(e^x)
Take integration on the both sides: ∫(e^x) dx = ∫d(e^x)
Hence, ∫(e^x) dx = (e^x) + C
2018-07-25 3:35 pm
To elaborate, I think it would be badass if I got a tattoo of an ambigram of this, so at one orientation it looks like you're taking the derivative of e^x and upside down it looks like you are taking the integral of e^x (yes, I know both outcomes give you e^x, that's the point). A picture or artist to contact is appreciated.
收錄日期: 2021-05-01 22:24:55
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