Mathematics
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OpenStudy (anonymous):
Can someone check my calc prob and tell me if my answer is correct? Find the derivative of the function. y=Ine^x
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OpenStudy (anonymous):
y(prime)=1/x(e^x)+e^x(In)
and my answer is y(prime)=e^x(1/x+In)
OpenStudy (anonymous):
y=lne^x=e^x
de^x/dx =e^x
OpenStudy (anonymous):
u lost me
OpenStudy (anonymous):
hold the phone
\(\ln(e^x)=x\)
OpenStudy (anonymous):
well the problem has absolutely No parenthesis
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OpenStudy (anonymous):
sorry
do u knw dat log n exp are mirror fns and that why they cancel out each other
OpenStudy (anonymous):
ya
is it 1
OpenStudy (anonymous):
okay?
OpenStudy (anonymous):
is the correct ans 1
OpenStudy (anonymous):
i have no idea this is an even problem and my book does not carry evens numbered problems
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OpenStudy (unklerhaukus):
\[y=\ln_ex\] ?
OpenStudy (anonymous):
No simply lne^x
OpenStudy (anonymous):
lne^x = xlne = x
So y = x
Now derivative it.
OpenStudy (anonymous):
y=In e^x
OpenStudy (anonymous):
see ur que was to diff y= lne^x
now as i said ln and exp cancels out each other
so lne^x=x
ie y=x
dx/dx=1
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OpenStudy (anonymous):
you guys are completely confusing me
OpenStudy (anonymous):
did u get tis
OpenStudy (anonymous):
Do you know logarithm properties?
OpenStudy (anonymous):
one question, is it possible to cancel well when rewritten.....ln=1/w so we have 1/x e^x is it possible to cancel out the x's?
OpenStudy (anonymous):
NO
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OpenStudy (anonymous):
i mean ln=1/x
OpenStudy (anonymous):
\[\ln a^b = b \ln a \]
OpenStudy (anonymous):
ya
OpenStudy (anonymous):
So \[\ln e^x = x \ln e\]
OpenStudy (anonymous):
And ln e = 1
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OpenStudy (anonymous):
Do you know logarithm properties?
OpenStudy (anonymous):
i did
OpenStudy (anonymous):
you can do that way too
but rem tis log n exponential r mirrors function dats y can cancel them out
and wat micahwood50 says is also correct
OpenStudy (anonymous):
Well, so y = x.
Now derivative it.
OpenStudy (anonymous):
1
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OpenStudy (anonymous):
Yeah. y' = 1
OpenStudy (anonymous):
okay thanks
OpenStudy (anonymous):
No problem. Glad I helped you.
OpenStudy (anonymous):
:]