Electrical Engineering > GATE 2018 > Calculus
Let f be a real-valued function of a real variable defined as f(x) = x2 for x ≥ 0, and f(x) = -x2 for x < 0. Which one of the following statements is true?
A
f(x) is discontinuous at x=0.
B
f(x) is continuous but not differentiable at x=0.
C
f(x) is differentiable but its first derivative is not continuous at x=0
D
f(x) is differentiable but its first derivative is not differentiable at x=0.

Correct : d

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