Mathematics · Continuity and Differentiability
For the function f(x) = |sin x|, which of the following statements is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1f(x) is discontinuous at x = nπ, where n ∈ Z
- 2f(x) is everywhere continuous and everywhere differentiable
- 3f(x) is everywhere continuous but not differentiable at x = nπ, where n ∈ Z✓
- 4f(x) is everywhere differentiable
Correct answer
f(x) is everywhere continuous but not differentiable at x = nπ, where n ∈ Z
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