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d/dx tan^(-1) [(x-x^(1/2))/(1+x^(3/2))] ...

`d/dx tan^(-1) [(x-x^(1/2))/(1+x^(3/2))] =`

A

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

B

`1/(1+x^(2))+1/(2sqrtx(1+x))`

C

`1/(2sqrtx(1+x))`

D

`1/(1+x^(2))-1/(2sqrtx(1+x))`

Text Solution

Verified by Experts

The correct Answer is:
D
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