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If y=(tan^(-1) x)^(4/3),"then "dy/dx=...

If `y=(tan^(-1) x)^(4/3),"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:
D
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