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Rolle’s theorem is applicable for the function f(x) = |x – 1| in [0, 2]. - Mathematics

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Question

Rolle’s theorem is applicable for the function f(x) = |x – 1| in [0, 2].

Options

  • True

  • False

MCQ
True or False
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Solution

This statement is False.

Explanation:

Given that f(x) = x – 1 in [0, 2]

We know that modulus function is not differentiable.

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Chapter 5: Continuity And Differentiability - Exercise [Page 116]

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NCERT Exemplar Mathematics [English] Class 12
Chapter 5 Continuity And Differentiability
Exercise | Q 102 | Page 116
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