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JEE Main & Advanced Mathematics Differentiation Question Bank Self Evaluation Test - Limits and Derivatives

  • question_answer
    If \[y=(1+{{x}^{1/4}})(1+{{x}^{1/2}})(1-{{x}^{1/4}}),\] then \[\frac{dy}{dx}\] is equal to

    A) 1

    B) -1

    C) x

    D) \[\sqrt{x}\]

    Correct Answer: B

    Solution :

    [b] we have, \[y=(1+{{x}^{1/4}})(1+{{x}^{1/2}})(1-{{x}^{1/4}})\] \[=(1-{{x}^{1/2}})(1+{{x}^{1/2}})=1-x\] \[\therefore \frac{dy}{dx}=-1\]


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