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For f(x) = x|x|, what is the derivative f'(0)?
Ait equals -1
Bit equals 0
Cit equals 1
Dit does not exist
Answer & Solution
Correct answer: B. it equals 0
The difference quotient h|h|/h equals |h|, which tends to 0 from both sides, so f'(0) = 0.
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