so i have a quick question...while taking the derivative of an exponential function, where f(x)= 2^x. the derivative f'(x)=is k(fx) or f'(x)=k(2^x). my question is what's k and its purpose??

Question

irishboy123 · Answer

you need to switch into natural logs and e before you can play with the usual calculus rules 

$y = 2^x$

$ln y = x ln 2$

off you go

sshayer · Answer

$$\frac{ d }{ dx }(a^x)=a^x \ln a$$

kainui · Answer

I think your notation is off, because this doesn't seem to be meaningful,  " f'(x)=is k(fx) or f'(x)=k(2^x)."

But if your function is $f(x)=2^x$ then maybe they are suggesting you put in a constant $k$ in so that you get: $f(kx)=2^{kx}$.

Then you can use the chain rule to differentiate this but I need more info or something cause it's sorta ambiguous what you're doing.

irishboy123 · Answer

it's purpose is the log switch

to logs that work for calculus

see @sshayer 's thing above