Mathematics 82 Online
OpenStudy (anonymous):

How do you find the derivative of e^(4x)?

OpenStudy (amistre64):

take the limits

OpenStudy (anonymous):

uuuuhh you got it same thing

OpenStudy (amistre64):

or, use the rules that have been extrapolated from the limits

OpenStudy (amistre64):

out pops the 4 tho, so it aint the "same" thing

OpenStudy (anonymous):

Well the derivative of e^x=e^x. So you can take the limits or you can use substitution I think? You'd get 4e^4x

OpenStudy (amistre64):

when you say "find the derivative" you have to really clarify what it is your needing.

OpenStudy (anonymous):

Not substitution but yea i think thats the answer.

OpenStudy (anonymous):

why do you have to be so technical you know what she meant

OpenStudy (lalaly):

\[\large{e^{f(x)} = f '(x) e^{f(x)}}\]

OpenStudy (amistre64):

it is becasue I dont know what is meant that I have to clarify

OpenStudy (anonymous):

yea my answer could be wrong since I assumed what I thought she meant was actually what she did in fact mean

OpenStudy (anonymous):

You guys got it! I got 4e^(4x) too but wasn't sure, thanks!