A relative maximum of a function occurs where the first derivative changes from postive 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 maximum occurs when the first derivative changes from positive to negative.
Key Concept Explanation
The first derivative test states that if the first derivative of a function changes from positive to negative at a critical point, then the function has a relative maximum at that point.
Step-by-step Solution
1. Recall the first derivative test: If changes from positive to negative at
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