d/dx e^x

Derivative

d/dx(e^x) = e^x

Roots

(no roots exist)

Periodicity

periodic in x with period 2 i π

Series expansion at x=0

1 + x + x^2/2 + x^3/6 + x^4/24 + O(x^5)
(Taylor series)

Indefinite integral

integral e^x dx = e^x + constant

Limit

lim_(x->-∞) e^x = 0