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If y="cosec"^(-1) (2x+1),"then "dy/dx=...

If `y="cosec"^(-1) (2x+1),"then "dy/dx=`

A

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

B

` (4(tan ^(-1) x)^((2)/(3)))/( 3( 1+x^(2)))`

C

` (4(tan ^(-1) x)^((4)/(3)))/( 3( 1+x^(2)))`

D

` (4(tan ^(-1) x)^((1)/(3)))/( 3( 1+x^(2)))`

Text Solution

Verified by Experts

The correct Answer is:
C
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