JEE Main & Advanced Mathematics Applications of Derivatives Question Bank Increasing and Decreasing Function

  • question_answer
    The function \[f(x)=\tan x-x\] [MNR 1995; Pb. CET 2000; Karnataka CET 2002]

    A)            Always increases                

    B)            Always decreases

    C)            Never decreases                

    D)            Sometimes increases and sometimes decreases

    Correct Answer: A

    Solution :

               \[y=\tan x-x\Rightarrow \frac{dy}{dx}={{\sec }^{2}}x-1={{\tan }^{2}}x\ge 0\].


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