Question

5. Show that f(x) = {x} + x – 1 is not differentiable at x =
0, x=1​

Answer 1

1. at x = 0-

f(x) = x + 1 + x - 1 = 2x

and x = 0+

f(x) = x + x - 1 = 2x - 1.

so not differentiable.

similarly for x = 1.

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