Q2 of 48 Page 364

Show that ƒ(x) = (x-1)1/3 is not differentiable at x=1.

Given function f(x) = (x-1)1/3


LHD at x = 1



= Not defined


RHD at x = 1



= Not defined


Since, LHD and RHD doesn’t exists


Therefore, f(x) is not differentiable at x = 1.


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