Oliver and Kate are paddling a canoe for 1.49 miles across a lake. If Kate paddled for 1/5 of the total distance and Oliver padd
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Answer:
*The function has a minimum in x=-1
*The function has a maximum in x=1
*The second derivative is not enough to determine if the function has either a maximum or a minimum in x=0.
Step-by-step explanation:
1. Evaluate the second derivative in the first critical point x=-1:
As the value is smaller than zero, the function has a minimum in x=-1
2. Evaluate the second derivative in the second critical point x=1
As the value is larger than zero, the function has a maximum in x=1
3. Evaluate the second derivative in the third critical point x=0
As the value is equal to zero, the second derivative is not enough to determine if the function has either a maximum or a minimum in x=0.