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Mathematics 10 Online
OpenStudy (anonymous):

i hav a questien about calculs

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

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

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

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):

!!!!

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

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

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

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

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. \[f/g = fg^{-1}\]

OpenStudy (anonymous):

http://24.media.tumblr.com/tumblr_mah6v1A5Xp1rziwwco1_250.gif me right now, you're all bullies.

OpenStudy (kainui):

**slow clap**

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