Tamil Nadu Board of Secondary EducationHSC Arts Class 11

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

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Diagram

Examine the differentiability of functions in R by drawing the diagram

|cos x|

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Solution

|cos x| = f(x)

Limit exist and continuous for all x ∈ R clearly, differentiable at `"R" {(2"n" + 1)π/2, "n" ∈ "z"}` Not differentiable at x = `(2"n" + 1) π/2`, 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. (ii) | Page 147

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