KVPY Sample Paper KVPY Stream-SX Model Paper-24

  • question_answer
    If \[y=f\left( \frac{3x+4}{5x+6} \right)\] & \[f'(x)=\tan {{x}^{2}}\] then \[\frac{dy}{dx}=\]

    A) \[\tan \,\,{{x}^{3}}\]

    B) \[-\,2\,\,\tan {{\left[ \frac{3x+4}{5x+6} \right]}^{2}}.\frac{1}{{{(5x+6)}^{2}}}\]

    C) \[f{{\left[ \frac{3\tan {{x}^{2}}+4}{5\tan {{x}^{2}}+6} \right]}^{2}}\tan {{x}^{2}}\]

    D) None of these

    Correct Answer: B

    Solution :

    \[-\,2\tan {{\left[ \frac{3x+4}{5x+6} \right]}^{2}}.\frac{1}{{{(5x+6)}^{2}}}\]


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