Question

Find derivative of the function:
g(x) = ln(e^x)/(1 + e^x)

Answer 1

is that just natural log of the top or the whole thing?

Answer 2

natural log of the whole thing

Answer 3

simplify first:\[\ln (e^{x}) = x\]
now we have:\[x \over (1+e^{x})\]

use quotien rule to find the derivative

Answer 4

g(x)=ln(e^x)-ln(1+e^x)
g(x)=xlne-ln(1+e^x)
g'(x)=lne-(e^x)/(1+e^x)

Answer 5

oh nvm my answer then..

Answer 6

how did you get to the subtraction?

Answer 7

\[\ln{a \over b} = \ln a - \ln b \]

Answer 8

oh of course!! i knew i was missing something

Answer 9

(: