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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.

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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
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