this post was submitted on 08 Nov 2025
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She is derivation, a transform of functions that describes rate of π(π₯) changing as π₯ changes. (This can be represented visually as the slope of the graph π¦β=βπβ(π₯).) He is the exponential function π^π₯^, which is the only* non-zero function whose derivative is itself - in other words, unaffected by derivation. The number π is a constant (around 2.718) and the base of natural logarithms, hence the title.
* except its multiples such as β2βπ^π₯^, 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 β¦ β¦
(My profs always dunked on me for forgetting the + c and I canβt resist doing it to someone else, Iβm sorry)
For real tho, great explanation
But the derivative of e^x+c is just e^x (which for c!=0 is not the same). That's why the +c is added during integrating because all +c is derived to 0 and thus indistinguishable.