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Darivative of tan ^(-1) (logt) w.r.t lo...

Darivative of ` tan ^(-1) (logt) w.r.t log (sec^(-1) t)` is

A

` ( sqrt( 1-t^(2) ) sec ^(-1) t)/( 1+ (log t )^(2))`

B

` (- sqrt( 1-t^(2) ) sec ^(-1) t)/( 1+ (log t )^(2))`

C

` ( sqrt( t^(2)- 1) sec ^(-1) t )/( 1+ (log t)^(2))`

D

` (- sqrt( t^(2)- 1) sec ^(-1) t )/( 1+ (log t)^(2))`

Text Solution

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The correct Answer is:
C
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NIKITA PUBLICATION-DIFFERENTIATION -MCQ
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  2. log(1+x^(2))"w.r.t."tan^(-1)x

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