Question

Is taking the derivative of e^x technically using the exponential rule?

Answer 1

derivative of e^x is e^x, it doesnt change
not power rule if thats what you mean

Answer 2

I know what the derivative of e^x is, that's not what I asked.

Answer 3

theres no such thing as an exponetial rule btw

Answer 4

@jayz657 http://en.wikipedia.org/wiki/Differentiation_rules#Derivatives_of_exponential_and_logarithmic_functions

Answer 5

that link shows derivatives of exponential functions there is no rule for it, all you need to know about derivatives of e^x is e^x

or if your talk about functions like 2^x then you need to log the function so you could bring down the x and take derivative of it

Answer 6

would you agree that \[d/dx(2^x) = 2^xln(2)\]

Answer 7

@jayz657

Answer 8

yea doing derivatives of y= 2^x is different from e^x since you dont need to do logs for e^x
ln(y) = xln(2)
1/y dy/dx = ln(2)
dy/dx = yln(2)
y' = 2^x ln(2)

Answer 9

Yes, this is just a specific case for the exponential rule:
\(\large \frac{d}{dx}(e^x) = e^x \ln e = e^x * 1 = e^x \)

Answer 10

Thank you @AccessDenied

Answer 11

You're welcome. :)