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Derivative of tan ^(-1) ((a-x)/( 1+ax) ...

Derivative of ` tan ^(-1) ((a-x)/( 1+ax) ) w.r.t. sin ^(-1) (3x-4x^(3)) ` is

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
C
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NIKITA PUBLICATION-DIFFERENTIATION -MCQ
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