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Classify x = 0 for the quartic f(x) = x⁴, where f'(0) = 0.
ANot a critical point
BA local minimum
CA local maximum
DPoint of inflexion
Answer & Solution
Correct answer: B. A local minimum
f'(x) = 4x³ changes sign from negative to positive at 0, so the first derivative test gives a minimum.
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