How do you derive this?
e^(g(x))
To derive the expression e^(g(x)), you would first need to determine the function g(x).

Once you have determined the function, you can apply the definition of exponential function, which states that e^x is the inverse function of the natural logarithm (ln), and use the rules of logarithms and exponentials to manipulate the expression.

For example, if g(x) = 2x, then the derivative of e^(g(x)) with respect to x would be:

d/dx [e^(g(x))] = d/dx [e^(2x)] = 2e^(2x)

Note that the derivative of e^x with respect to x is simply e^x.