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Answer:
Relative minimum: , Relative maximum:
Step-by-step explanation:
First, we obtain the First and Second Derivatives of the polynomic function:
First Derivative
(1)
Second Derivative
(2)
Now, we proceed with the First Derivative Test on (1):
The critical point is .
As the second derivative is a constant function, we know that critical point leads to a minimum by Second Derivative Test, since .
Lastly, we find the remaining component associated with the critical point by direct evaluation of the function:
There are relative maxima.