Question

find the derivative: x/e^x

Answer 1

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

Answer 2

using the product rule
\[\frac{d}{dx}xe^{-x} = e^{-x}-xe^{-x} = \frac{1}{e^x}- \frac{x}{e^x}\]

Answer 3

qutotient rule

Answer 4

i used the product rule,

Answer 5

that is not what I got, I got 1-x/e^x is the derivative

Answer 6

well thats the same as my answer

Answer 7

\[\frac{1}{e^x}-\frac{x}{e^x} = \frac{1-x}{e^x}\]

Answer 8

right lalaly you are right you just didn't eliminate the common term

Answer 9

what common term? i dont have to eliminate anything

Answer 10

its exactly the same since they have a common denomiantor

Answer 11

e^x over e^x2 simplifies to your 2nd answer of 1-x/e^x

Answer 12

sumbul used the quotient rule
i used the product rule

so my answer was simplified from the beginning i did not get e^2x.... i did it a different way...so u can have to methods of doing it