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If y=(tan^(-1)x)^2, then (x^2+1)^2 (d^2y...

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

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
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