Tamil Nadu Board of Secondary EducationHSC Arts Class 12th

# Explain why Rolle’s theorem is not applicable to the following functions in the respective intervals f(x)=|1x|,x∈[-1,1] - Mathematics

Sum

Explain why Rolle’s theorem is not applicable to the following functions in the respective intervals

f(x) = |1/x|, x ∈ [- 1, 1]

#### Solution

f(–1) = 1

f(1) = 1

⇒ f(–1) = f(1) = 1

But f(x) is not differentiable at x = 0

∴ Rolle’s theorem is not applicable.

Concept: Mean Value Theorem
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#### APPEARS IN

Tamil Nadu Board Samacheer Kalvi Class 12th Mathematics Volume 1 and 2 Answers Guide
Chapter 7 Applications of Differential Calculus
Exercise 7.3 | Q 1. (i) | Page 21
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