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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`

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To solve the problem step by step, we start with the expression for \( y \): ### Step 1: Write the expression for \( y \) Given: \[ y = \tan^{-1}\left(\frac{1}{1+x+x^2}\right) + \tan^{-1}\left(\frac{1}{x^2+3x+3}\right) + \tan^{-1}\left(\frac{1}{x^2+5x+7}\right) + \ldots \text{ (up to n terms)} \] ...
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