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Is f(x) = |x - 2| differentiable at x = 2?
ANo, one-sided slopes differ
BYes, with derivative 0
CYes, with derivative 1
DYes, with derivative -1
Answer & Solution
Correct answer: A. No, one-sided slopes differ
The slope is -1 just left of 2 and +1 just right of 2, so the derivative does not exist at 2.
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