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If y=cot ^(-1) sqrt(( x^(2) +a^(2)+x)/(...

If ` y=cot ^(-1) sqrt(( x^(2) +a^(2)+x)/( sqrt( x^(2)+a^(2) -x)) ) ,then (dy)/(dx)=`

A

` (-a)/( 2(a^(2)+x^(2) ) ) `

B

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

C

` (-a^(2) )/( 2(a^(2)+x^(2) ) ) `

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
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