• felsiq@piefed.zipEnglish
    32·
    14 hours ago

    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

    • knomie@feddit.orgEnglish
      6·
      10 hours ago

      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.

      • felsiq@piefed.zipEnglish
        2·
        59 minutes ago

        I wish I could say I commented this late at night or something, but nope I’m just dumb lmao thanks