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Let f(x) = x|sin x|, x ∈ R. Then 

 (A) f is differentiable for all x, except at x = nπ, n = 1, 2, 3,…. 

(B) f is differentiable for all x, except at x = nπ, n = ±1, ±2, ±3,…. 

(C) f is differentiable for all x, except at x = nπ, n = 0, 1, 2, 3,…. 

 (D) f is differentiable for all x, except at x = nπ, n = 0, ±1, ±2, ±3,…

1 Answer

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Best answer

Correct option (B) f is differentiable for all x, except at x = nπ, n = ±1, ±2, ±3,…

Explanation:

f(x) = x|sin x| (continuous fucntion) 

critical points are x = nπ

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