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12th Class Mathematics Sample Paper Mathematics Olympiad - Sample Paper-1

  • question_answer
    If \[y={{\tan }^{-1}}\left( \frac{2x}{1-{{x}^{2}}} \right)+{{\cos }^{-1}}\left( \frac{1-{{x}^{2}}}{1+{{x}^{2}}} \right)\] and \[x\,\in \] \[(-1,0)\]then \[\frac{dy}{dx}=\]

    A)  \[\frac{4}{1+{{x}^{2}}}\]     

    B)  \[0\]

    C)  \[\frac{2}{1+{{x}^{2}}}\]     

    D)  None of these

    Correct Answer: B

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