A relative minimum of a function occurs where the first derivative changes from negative to .
Answer & Analysis
Analysis
Question Analysis
This question tests the student's understanding of the first derivative test for identifying relative extrema. The key concept is that a relative minimum occurs when the first derivative changes from negative to positive.
Key Concept Explanation
The first derivative test states that if the first derivative of a function changes from negative to positive at a critical point, then the function has a relative minimum at that point.
Step-by-step Solution
1. Recall the first derivative test: If changes from negative to positive at
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