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brittanysanders
23.10.2019 •
Mathematics
Let h(x) be a function whose second derivative is h 00(x) = x 3 − 4x 2 + 5x. h(x) has critical points at x = −1, x = 0, and x = 1. which of these points are local maxima, which are local minima, and which can you not tell just by using the second derivative test?
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Ответ:
*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.
Ответ:
Sadie would have 66.55
Step-by-step explanation: