Algebra-2

Question Analysis
This question tests the student's understanding of the first derivative test to determine the nature of critical points. The function is given, and the critical points are provided. The student must use the sign change of the first derivative around the critical point to identify whether it is a relative maximum or minimum.

Key Concept Explanation
The first derivative test states that if the first derivative changes from positive to negative at a critical point, then the function has a relative maximum at that point.

Step-by-step Solution
1. Given the function .
2. Find the first derivative: .
3. Set the first derivative equal to zero to find critical points: . Factor:

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