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 |