# Prove that the Function F Given by F(X) = |X - 1|, X in R is Not Differentiable at X = 1. - Mathematics

Prove that the function given by  f(x) = |x - 1|, x  in R  is notdifferentiable at x = 1.

#### Solution

The given function f is f(x) = [x], 0 < x < 3

It is known that a function f is differentiable at a point x = c in its domain if both

Since the left and right hand limits of f at x = 2 are not equal, f is not differentiable at x = 2

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#### APPEARS IN

NCERT Class 12 Maths
Chapter 5 Continuity and Differentiability
Q 10 | Page 166