What's the derivative of e^x?

What is it?

Relative to what?

e^x.

dude... e is a constant (and a damn ugly one at that)

ln(e) = 1

Oh, and what >>2 said

what does e being a constant have to do with anything? e^x is the only function that is the derivative of itself., so yes, >>3 is right.

learn2calculus.

>>6
What >>7 said. >>3 is only right if you're differentiating with respect to x. If you integrate with respect to some other variable y, you get 0.

>>6
the entire family C*e^x are their own derivative, not just e^x.

Easy enough to prove: dy/dx=y -> dy/y=dx -> ln y=x+k -> y=e^(x+k)=C*e^x

>>6
0 is the derivative of itself.

>>9, this is >>6. That is my mistake, you are right. But if you know anything about differentiation, you should be able to figure it out.

And >>8, I did disregard that fact, because if you are honestly looking for the derivative with respect to y, you know absolutely no calculus. The only thing that you should be wondering about, if at all, is the derivative with respect to x.

>>11
Enjoy your complete lack of real-world experience with calculus, dickfuck.