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Question
Choose the correct alternative:
If f(x) = `{{:(2"a" - x, "for" - "a" < x < "a"),(3x - 2"a", "for" x ≥ "a"):}` , then which one of the following is true?
Options
f(x) is not differentiable at x = a
f(x) is discontinuous at x = a
f(x) is continuous for all x in R
f(x) is differentiable for all x ≥ a
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Solution
f(x) is not differentiable at x = a
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