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Ask experts Expert Question: for students good in differentiation
Reply Forum Index -> Differential Calculus originally posted here on IIT-JEE / AIEEE community   
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[Post New] 16 Jun 2007 15:54:45 IST
   Subject: for students good in differentiation
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Rakesh OFFLINE (1150)

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if f(x) = log x{ln(x)} , then f '(x) at x= e  will be
 
Ans  1/e
 
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[Post New] 16 Jun 2007 16:29:47 IST
   Subject: Re:for students good in differentiation
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HIMANSHU JAIN (376)

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i think the base is x here.
so,here is the ans
 
qun can be written as 
[logelnx]/lnx
now derivative
[(1/lnx)(1/x) - (1/x)(loglnx)]/(lnx)2
putting x=e
lnx=1  log1=0
:. we get ans 1/e
Himanshu Jain
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[Post New] 16 Jun 2007 19:32:38 IST
   Subject: Re:for students good in differentiation
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Amar Gupta (610)

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very good him26.89
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[Post New] 17 Jun 2007 18:17:55 IST
   Subject: for students good in differentiation
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Khinar Thukral (244)

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Hey the question is quite simple.Dont be afraid.See wherever U see any other base use the base change formula and then simply differentiate it
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