Determine the local minimum value of the polynomial function .
Answer and explanation
Correct answer: D.
**Answer: . Why not the others:** is the local maximum value at ; results from miscalculating ; is the -coordinate, not the minimum value of .
- Step 1: Find the critical points by setting the derivative to zero: , giving and .
- Step 2: Use the second derivative: . At , (local minimum). Evaluate .
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