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For f(x) = |x|, what are the left and right derivatives at 0 respectively?
A0 and 0
B-1 and 1
C1 and -1
D0 and 1
Answer & Solution
Correct answer: B. -1 and 1
Left of zero |x| = -x with slope -1, and right of zero |x| = x with slope 1, so the one-sided derivatives disagree.
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