Tamil Nadu Board of Secondary EducationHSC Science Class 11

Examine the differentiability of functions in R by drawing the diagram |sin x| - Mathematics

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Diagram

Examine the differentiability of functions in R by drawing the diagram

|sin x|

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Solution

|sin x| = f(x)


Limit exist and continuous for all x ∈ R clearly, differentiable at R – {nπ n ∈ z) Not differentiable at x = nπ, n ∈ z.

Concept: Differentiability and Continuity
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Chapter 10: Differential Calculus - Differentiability and Methods of Differentiation - Exercise 10.1 [Page 147]

APPEARS IN

Tamil Nadu Board Samacheer Kalvi Class 11th Mathematics Volume 1 and 2 Answers Guide
Chapter 10 Differential Calculus - Differentiability and Methods of Differentiation
Exercise 10.1 | Q 7. (i) | Page 147

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