JEE Main & Advanced Mathematics Differentiation Question Bank Derivative at a point Standard Differentiation

  • question_answer
    The derivative of tanx ? x with respect to x is  [SCRA 1996]

    A)            \[1-{{\tan }^{2}}x\]

    B)            tan x

    C)            \[-{{\tan }^{2}}x\]

    D)            \[{{\tan }^{2}}x\]

    Correct Answer: D

    Solution :

               \[f'(x)={{\sec }^{2}}x-1={{\tan }^{2}}x\].


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