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If $y=log\bigg(\large \frac{1-x^2}{1+x^2}\normalsize \bigg),then\;\large \frac{dy}{dx}$ is equal to

\[ \begin{array}{1 1}(A)\;\frac{4x^3}{1-x^4} & (B)\;\frac{-4x}{1-x^4}\\(C)\;\frac{1}{4-x^4} &(D)\;\frac{-4x^3}{1-x^4}\end{array}\]

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