Find the Function f(x)=e^x

$f (x) = e^{x}$

The function $F (x)$ can be found by evaluating the indefinite integral of the derivative $f (x)$ .

$F (x) = \int f (x) d x$

The integral of $e^{x}$ with respect to $x$ is $e^{x}$ .

$e^{x} + C$

The function $F$ if derived from the integral of the derivative of the function. This is valid by the fundamental theorem of calculus.

$F (x) = e^{x} + C$