
Second Derivative Test
Authored by Erwin Monteloyola
Mathematics
12th Grade
CCSS covered
Used 37+ times

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15 questions
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1.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
The concavity of a function is described by its _______________.
2.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
For a function g(x), g''(3)=-8 indicates that g(x) is ____________ at x=3.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
3.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
If (a,b) is a local maximum, then what will be true about f''(a)?
4.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Identify the interval from the derivative graph where the function is concave up.
5.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Identify the interval from the derivative graph where the function is concave down
6.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Which of the following statements must be true?
I. f has a relative Min at x=-3.
II. The graph of f has a point of inflection at x=2.
III. The graph of f is concave down for 0 < x < 4.
I only
II only
III only
I and II only
I and III only
7.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Let f be a polynomial function with values of f '(x) at selected values of x given in the table. Which of the following must be true for -2 < x < 6 ?
The graph of f is concave up
The graph of f has at least two points of inflection
f is increasing
f has no critical points
f has at least two relative extrema
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