Question

compute the derivative

y=(e/e^x)^3

Answer 1

\[y=(x/e^x)^3\]

Answer 2

\[
y' = 2 \frac x {e^x} \frac d {dx}\left( x e^{-x} \right)


\]

Answer 3

Can you finish it now?

Answer 4

kind of lost

Answer 5

y= u^2
y'= 2 u u'
Chain rule

Answer 6

\[u= x e^{-x}
\]

Answer 7

\[
u'= e^{-x} - x e^{-x}\\
2 u u'= 2 x e^{-x} \left( e^{-x} - x e^{-x} \right)= 2 x e^{-2x} - 2 x^2 e^{-2x}
\]

Answer 8

That is it.

Answer 9

is both chain rule and quotant rule

Answer 10

you can use product rule by writing
\[
(x e^{-x})^2
\]

Answer 11

ok eliassaab I had the first part right.Ok Andersfon12

Answer 12

@hooverst did you get it?

Answer 13

I have the final answer above.

Answer 14

yes Sir I got it !!

Answer 15

Did you understand it?

Answer 16

yes SIr