Derivative of 9e^x

Derivative of 9e^x

Derivative
d/dx(9 e^x) = 9 e^x
Roots
(no roots exist)
Periodicity
periodic in x with period 2 i pi
Series expansion at x=0
9 + 9 x + (9 x^2)/2 + (3 x^3)/2 + (3 x^4)/8 + O(x^5)
(Taylor series)
Indefinite integral
integral 9 e^x dx = 9 e^x + constant
Limit
lim_(x->-infinity) 9 e^x = 0
Definite integral
integral_(-infinity)^0 9 e^x dx = 9
Definite integral over a half-period
integral_0^(i pi) 9 e^x dx = -18

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