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OpenStudy (anonymous):
no pls
OpenStudy (jlg030597):
I can help
OpenStudy (anonymous):
\[\frac{d}{dx}(\log_xx^x)\]
OpenStudy (jlg030597):
oh gosh um wow sorry i thought i could but i dont even know where to start with that.
OpenStudy (anonymous):
1
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OpenStudy (anonymous):
ya rite no way
OpenStudy (anonymous):
is 1 the answer
OpenStudy (anonymous):
no
OpenStudy (anonymous):
wate batmans rong
OpenStudy (anonymous):
its differenciated
and explain ur answers
sigh
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OpenStudy (anonymous):
it is 1
OpenStudy (jlg030597):
hahaha Batman i could see him saying that "NO" lol
OpenStudy (anonymous):
\[\log _{x}(x^x) = \frac{ logx^x }{logx}\]
OpenStudy (anonymous):
is it 1 or not
OpenStudy (anonymous):
NO IT'S NOT 1
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OpenStudy (jlg030597):
Guys your making him mad
OpenStudy (anonymous):
Use quotient rule now
OpenStudy (anonymous):
no batman ur rong
OpenStudy (anonymous):
\[\frac{logx^x}{logx}=\frac{xlogx}{logx}=x\]
OpenStudy (anonymous):
!!!!
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OpenStudy (anonymous):
\[\huge \frac{ d }{ dx }\frac{ u }{ v }=\frac{ v \frac{ du }{ dx }-u \frac{ dv }{ dx } }{ v^2 }\]
u = log(x^x), v = log(x)
OpenStudy (luigi0210):
Go batman go!
*confetti*
OpenStudy (anonymous):
\[d/dx(x)=1\]
OpenStudy (anonymous):
lol
OpenStudy (anonymous):
log rules batmen drules
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OpenStudy (anonymous):
her english is giving me heart attack
but she is quite correct abt it
basic logarithm rule x is the base,and its raised to the powe x to give x^x so log x^x to base x is x,so x differentiated gives 1
OpenStudy (anonymous):
sry my natiff langich is russien but i no sum germen
OpenStudy (luigi0210):
^dat hawt
xD
OpenStudy (anonymous):
lol
OpenStudy (anonymous):
yusssssss! im sexey on the interweb
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OpenStudy (anonymous):
bimbo
OpenStudy (anonymous):
\[\implies \frac{ -\log(x^x)(\frac{ d }{ dx }(logx))+\log(x)(\frac{ d }{ dx } (\log(x^x))}{ \log^2x }\]
\[ = \frac{ \log(x)(\frac{ d }{ dx }(\log(x^x)) -\frac{ 1 }{ x }(\log(x^x))}{ \log^2)(x) }\]
\[= \frac{ \frac{ -\log(x^x) }{ x }+\log(x)\frac{ d }{ dx }(x)+x \frac{ d }{ dx }logx(\log(x)) }{ \log^2(x) }\]
\[= \frac{ \frac{ -\log(x^x) }{ x }+\log(x)(\log(x)+\frac{ 1 }{ x }x }{ \log^2(x) } \implies ~ \frac{ \log(x)(1+\log(x))-\frac{ \log(x^x) }{ x } }{ \log^2(x) }\]
OpenStudy (anonymous):
batman -.-
OpenStudy (anonymous):
seriously?
OpenStudy (anonymous):
Cry
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OpenStudy (luigi0210):
How about I give you love? <3
OpenStudy (anonymous):
lool
OpenStudy (anonymous):
There's your answer, now it's time to go save Gotham.
OpenStudy (anonymous):
|dw:1401353233250:dw|
OpenStudy (anonymous):
that's what i have been saying since time immemorial it is 1
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OpenStudy (anonymous):
**highfives nobody**
OpenStudy (anonymous):
You guys are killing me
OpenStudy (anonymous):
poor batmen using qotient rule. i jest use prodccut rule n chane rool evry time. \[f/g = fg^{-1}\]