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Mathematics 8 Online
OpenStudy (anonymous):

find derivative of : f(x) = e^4 * ln x

OpenStudy (zzr0ck3r):

e^4 is just a number

OpenStudy (zzr0ck3r):

so what is the derivative of ln(x)?

OpenStudy (anonymous):

1/x

OpenStudy (zzr0ck3r):

multiply that by e^4 and you have the answer

hartnn (hartnn):

and i thought it was \(\large e^{4\ln x}\)

OpenStudy (zzr0ck3r):

(e^4)/x

OpenStudy (zzr0ck3r):

I don't know...

OpenStudy (anonymous):

ok so every time e is raised to a number I treat it as a constant unless it has a variable in the power correct ?

OpenStudy (zzr0ck3r):

wait wait, is it what @hartnn said?

OpenStudy (zzr0ck3r):

is \[e^{4*lnx}\] or \[e^{4}*lnx\]

hartnn (hartnn):

every time e is raised to a number I treat it as a constant unless it has a variable in the power <------ correct

OpenStudy (anonymous):

well according to the program it is e^4 / x

OpenStudy (zzr0ck3r):

ok then its what I said.

OpenStudy (zzr0ck3r):

correct

OpenStudy (anonymous):

thank you both !

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