Consider the following statements for the curve f(x)=x∣x∣ and find that which of the following(s) are/is correct :
(A) f(x)=x∣x∣ is differentiable at x=0.
(B) f(x)=x∣x∣ is continuous at x=0 but not differentiable at x=0.
(C) f(x)=x∣x∣ has point of infection at x=0.
(D) f(x)=x∣x∣ is symmetrical about y-axis.
Choose the correct answer from the options given below :
Held on 7 Aug 2022 · Verified 13 Jul 2026.
(A) and (C) only
(B) and (D) only
(B) only
(A), (B) and (D) only
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