Question

ok differentiate this (e^x)/(1+x)

Answer 1

ok fine. see if i can

Answer 2

we use
\[(\frac{f}{g})'=\frac{gf'-fg'}{g^2}\]

Answer 3

sorry to bother i just have my final exams coming and im trying to give examples

Answer 4

lets just write it out. then it will be clear. here
\[f(x)=e^x\]
\[f'(x)=e^x\]
\[g(x)=1+x\]
\[g'(x)=1\]

Answer 5

put it together and get
\[\frac{(1+x)e^x-e^x\times 1}{(1+x)^2}\]

Answer 6

then do some algebra in the numerator and get the answer.

Answer 7

\[\frac{xe^x}{(1+x)^2}\] when is your final?

Answer 8

ok i got the same but the e^x *1=-e^x?