I have a derivative question.
If "p" is price and "q" is quantity, and the demand for a product is q = 5000e(-0.08p) (exponential function), what is the derivative of demand with respect to price when p=$10. Interpret answer in terms of demand.

The derivative of a function like



is:



For your function you have p as the independent variable rather than x, A = 5000 and b = -0.08. Can you finish it from here?

I thought that the answer might be: q'= -400e (-.08 x 10) = -179.73. Am I doing the derivative wrong?

Please do not use the comment feature of the web site to ask follow-up questions, but rather use the "answer" box.

You have it correct: the derivative at p = 10 is indeed dp/dq = -179.73 units/dollar.