Question

Hi , what is the derivative of e^-x

Answer 1

http://www.eeweb.com/tools/math-sheets/images/calculus-derivatives-limits.png

Answer 2

notice the "common derivatives" column

Answer 3

hmmm there is no e^-x

Answer 4

so by logic the derivative is also e^-x

Answer 5

hmmm I'd think so, yes

Answer 6

ok

Answer 7

e^-x = 1/e^x
(bottom*dtop/dx -top d bottom/dx)/bottom^2
(e^x*0 - 1*e^x)/e^2x or -e^x/e^2x = -e^-x

Answer 8

hmmm though I'm opne to be misaken... .I think @damonc2 may be correct on using the quotient rule

Answer 9

oh

Answer 10

so it is -e^-x

Answer 11

thanks

Answer 12

Well, you could graph it and look at the slope :)

Answer 13

the slope is negative

Answer 14

That tells you something

Answer 15

yeah

Answer 16

thanks

Answer 17

You are welcome.