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If y=tan ^(-1) ((log ( (e)/( x^(3))) )/...

If ` y=tan ^(-1) ((log ( (e)/( x^(3))) )/( log ( ex^(3)) ) ),then (dy)/(dx) =`

A

` (-3)/( x( 1+3 (log x) ^(2)))`

B

` (3)/( x( 1+3 (log x) ^(2)))`

C

` (-3)/( x( 1+9 (log x) ^(2)))`

D

` (3)/( x( 1+9 (log x) ^(2)))`

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The correct Answer is:
C
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