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A point on a curve is said to be an extremum if it is a local minimum or a local maximum. The number of distinct extrema for the curve 3x⁴ - 16x³ + 24x² + 37 is

1. 0
2. 1
3. 2
4. 3

Correct answer: 1

Solution

The function is a polynomial of degree four, and by analyzing its first derivative, we can determine the critical points. In this case, there is only one local extremum, indicating that the curve has one distinct extremum.

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