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3x⁴ − 4x³ has zero slope at x = 0. What kind of point is that?
AA local minimum
BA local maximum
CAn absolute minimum
DA point of inflexion
Answer & Solution
Correct answer: D. A point of inflexion
f'(x) = 12x²(x − 1) keeps the same sign on both sides of 0, so there is no extremum.
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