What's the derivative of e^-x? thanks.?

Question

What's the derivative of e^-x? thanks.?

Answer 1

Ok, here's how you do it

you have

e^-x

let's say U=-x then dU=-1

e^-x=e^U

derivative of e^U = e^Udu

substituting

e^UdU=(e^-x)*-1

so the answer would be

-e^-x

hope this helps.

Answer 2

The derivative of e^-x is -e^-x

Answer 3

derivative is

-1(e^-x)

Answer 4

Proof of  e^x : by  ln(x)

Given :  ln(x) = 1/x; Chain Rule;  x = 1.

Solve:

(1)  ln(e^x) =  x = 1

ln(e^x) =  ln(u)  e^x (Set u=e^x)

= 1/u  e^x = 1/e^x  e^x = 1 (equation 1)

e^x = e^x       Q.E.D.