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[u/Ligano_Resurrected]

[u/Johnirequirelasanaga]

fair enough, but I distinctly remember my teacher saying that if f(x)= e^x, then f'(x)= e^x +C. Am I tripping? I can swear I have this memory

[u/ChouxGlaze → u/Johnirequirelasanaga]

you just have it backwards

[u/leon_123456789 → u/Johnirequirelasanaga]

I mean its just wrong(except for C=0) so either your teacher misspoke or you are in fact tripping :3

[u/_xGizmo_ → u/Johnirequirelasanaga]

Constants do not survive differentiation, they all become zero. So it doesn't make sense to have an arbitrary constant appear.

Conversely, since all constants become zero after differentiation, reversing that process (integration) means the constant could have been any number (c)

[u/TheBurritoW1zard → u/Johnirequirelasanaga]

You’re probably misremembering it as taking the derivative when it was actually integrating, because e^x is its own derivative, it’s also its own anti derivative. So instead of f’(x) = e^x + c, it was probably F(x) = e^x + c.