Question

how do i find the derivative of an exponential function?

Answer 1

\[\frac{d}{dx}[e^x]=e^x\]
\[\frac{d}{dx}b^x=b^x\ln(b)\]

Answer 2

im confused because my original function is 70e^.1673, i dont know how to get the derivative

Answer 3

The derivative of e to the x is e to the x, so, if \[f(x)=e^x\] then\[f'(x)=e^x\]

Answer 4

thanks

Answer 5

There's a great video on the proof here: http://www.khanacademy.org/math/calculus/differential-calculus/v/proof--d-dx-e-x----e-x?exid=special_derivatives (and a lot of great practice exercises, too).

Answer 6

70e^.1673

is just a number. the derivative of a constant is zero

Answer 7

Ah gah, sorry, yes. My mind put an x in there. Not sure why. What I said is technically correct, just not the right answer to the question. :)