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If y=tan^(-1)1/(1+x+x^2)+tan^(-1)1/(x^2+...

If `y=tan^(-1)1/(1+x+x^2)+tan^(-1)1/(x^2+3x+3)+tan^(-1)1/(x^2+5x+7)++` upto `n` terms, then find the value of `y^(prime)(0)dot`

A

`-1/(1+n^2)`

B

`-n^2/(1+n^2)`

C

`-n/(1+n^2)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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