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Limits and Differentiation Test - 3

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Limits and Differentiation Test - 3
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  • Question 1
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    The left and right-hand derivatives of |lnx| at x = 1 are

    Solution

    For x<1, lnx <0. Hence |lnx| = -lnx
    Derivative of -lnx = -1/x
    Hence, LHD at x=1- = -1 
    Similarly,
    for x>1, lnx >0. Hence |lnx| = lnx
    Derviative of lnx = 1/x
    and RHD at x=1+ = 1

    Hence C is the correct option.

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