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Ask iit jee aieee pet cbse icse state board experts Expert Question: diffrentiation of f(x) = log mod (x)
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snigdha (5)

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find differentiation of f(x)= log mod x

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himani_manoj (0)

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There is same Qs in arihant differentials.
d/dx of log mod X = 1/mod X * d/dx of mod X
 
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himani_manoj (0)

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answer should be 1/mod X
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cvramana (644)

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y=log|x|
 
dy/dx = (1 / |x|) (|x| / x) = 1/ x
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himani_manoj (0)

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Sir I am not able to get ,why have you multiplied mod X/X?
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himani_manoj (0)

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Am I Ignoring any rule or formula sir?
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cvramana (644)

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If y = |x|
 
then  dy / dx =  |x| / x
 
therefore if y = log |x|        then    dy / dx = (1/ |x|) mulitplied by differentiation of |x| which is nothing but |x| / x.
Therefore the answer is 1 / x
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The answer is 1 / x.
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sehaj007 (0)

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log modx can always be differntiated as logx as the domain of logarihmic function is all positive real and mod x is always positive d/dx(log modx)=1/x
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unspecified (17)

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log mod x.
 
log of -ve quantities is not possible so log mod x =log x
 
 
diff log x=1/x.
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