Mathematics · Calculus
Let f(x) = |sin x|. Then which of the following statements is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1f is everywhere differentiable
- 2f is everywhere continuous but not differentiable at x = nπ, n ∈ Z✓
- 3f is everywhere continuous but not differentiable at x = (2n + 1)π/2, n ∈ Z
- 4f is neither continuous nor differentiable at x = nπ, n ∈ Z
Correct answer
f is everywhere continuous but not differentiable at x = nπ, n ∈ Z
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