Question: first derivative of exponential regression function
I have very elementary question cuz it's been a while since I took my last calculas question.
I am looking for the equation or the first derivative of exponential regression function:
Y = aX^2 + bX + c
For the above function, the first derivative is: 2aX + b, while 'a', 'b' and 'c' are constant.
To the question
My question is for exponential function
Y = f(X)
Y = exp(aX), 'a' is constant and can be negative, positive or fraction. So this is the equation what I wanted the first derivative.
So what is the first derivative of Y' for exponential function above d(Y)/d(X).
If I am not mistaken, i though the first derivative of exponential function is, the exponential function itself. But I am not sure if it is true in the presence of constant ('a'), or does it change when the constant is above or below 0?
Can it be exp(aX) or exp(X)...