Computer Sciences > GATE 2026 SET-1 > Calculus
Let f: ℝ → ℝ be defined as follows:
f(x) = (|x|/2 − x)(x − |x|/2)

Which of the following statements is/are true?
A
f has a local maximum
B
f has a local minimum
C
f′ is continuous over ℝ
D
f′ is not differentiable over ℝ

Correct : a,c,d

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