Question

Hi all! What do you get when you differentiate (e^x)/(1-e^x) using the quotient rule?

Answer 1

know the quotient rule?

Answer 2

yes

Answer 3

then what do u get for numerator ?

Answer 4

ok

Answer 5

(1-e^x)(e^x)-(e^x)(-e^x)

Answer 6

correct!
simplify it?

Answer 7

hmm

Answer 8

e^x-(e^x)^2 +(e^x)^2 =e^x

Answer 9

absolutely correct!
are you sure you needed help ? :P

Answer 10

lol so then it's e^x/(1-e^e)^2?

Answer 11

e^x/(1-e^x)^2

Answer 12

Which is then e^x/(1-2e^x -(e^x)^2)?

Answer 13

keep it as
e^x/(1-e^x)^2
this is most simplified form

Answer 14

aha since I can't do anything with the 1

Answer 15

hmm

Answer 16

lol well thanks for helping me make sure I was right :)

Answer 17

you're welcome ^_^