## anonymous 5 years ago Find derivative of the function: g(x) = ln(e^x)/(1 + e^x)

1. myininaya

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

2. anonymous

natural log of the whole thing

3. anonymous

simplify first:$\ln (e^{x}) = x$ now we have:$x \over (1+e^{x})$ use quotien rule to find the derivative

4. myininaya

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

5. anonymous

6. anonymous

how did you get to the subtraction?

7. anonymous

$\ln{a \over b} = \ln a - \ln b$

8. anonymous

oh of course!! i knew i was missing something

9. anonymous

(: