# Thread: Question: first derivative of exponential regression function

1. ## Question: first derivative of exponential regression function

Hi people

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:

For example:

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)...

2. Originally Posted by ggalex
Hi people

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:

For example:

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)...
$\frac{dY}{dX} = a e^{aX}$.

3. Originally Posted by mr fantastic
$\frac{dY}{dX} = a e^{aX}$.

To be very certain, are sure about those tqo 'a's ?

Thanl you very much

4. Originally Posted by ggalex
To be very certain, are sure about those tqo 'a's ?

Thanl you very much
I'll resist making a sarcastic remark and simply say "yes, I am sure".