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Mathematics 9 Online
OpenStudy (anonymous):

Hi , what is the derivative of e^-x

OpenStudy (jdoe0001):

notice the "common derivatives" column

OpenStudy (anonymous):

hmmm there is no e^-x

OpenStudy (anonymous):

so by logic the derivative is also e^-x

OpenStudy (jdoe0001):

hmmm I'd think so, yes

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

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

OpenStudy (jdoe0001):

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

OpenStudy (anonymous):

oh

OpenStudy (anonymous):

so it is -e^-x

OpenStudy (anonymous):

thanks

OpenStudy (anonymous):

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

OpenStudy (anonymous):

the slope is negative

OpenStudy (anonymous):

That tells you something

OpenStudy (anonymous):

yeah

OpenStudy (anonymous):

thanks

OpenStudy (anonymous):

You are welcome.

OpenStudy (anonymous):

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