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

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

A

` (x^(2) +1- xsqrt (1-x^(2) )cos ^(-1) x )/( (x^(2) + 1)^(2) sqrt(1-x^(2)))`

B

` (x^(2) +1+ xsqrt (1-x^(2) )cos ^(-1) x )/( (x^(2) + 1)^(2) sqrt(1-x^(2)))`

C

` -((x^(2) +1+ xsqrt (1-x^(2) )cos ^(-1) x )/( (x^(2) + 1)^(2) sqrt(1-x^(2))))`

D

` -((x^(2) +1-2 xsqrt (1-x^(2) )cos ^(-1) x )/( (x^(2) + 1)^(2) sqrt(1-x^(2))))`

Text Solution

Verified by Experts

The correct Answer is:
C
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