
First Derivative Test
Authored by Cara Shattuck
Mathematics
11th Grade - University
CCSS covered
Used 34+ times

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6 questions
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1.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
If and changes from positive to negative at , then has
A relative maximum at x=a
A relative minimum at x=a
No relative extrema at x=a
A vertical tangent line at x=a
Tags
CCSS.HSF.IF.B.4
CCSS.HSF.IF.C.7
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If , then you are guaranteed a relative extreme value at x=a.
True
False
3.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
If and changes from negative to positive at , then has
a relative maximum at x=a
a relative minimum at x=a
no relative extrema at x=a
a vertical tangent line at x=a
4.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Find all relative extrema for the function above:
A
B
C
D
Tags
CCSS.HSF.IF.B.4
CCSS.HSF.IF.C.7
5.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
For the function above, find all relative extrema.
A
B
C
D
Tags
CCSS.HSA.APR.B.3
6.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
The function has a relative maximum value of _____________ at x=_____________.
0; -5
-5; 0
2; -1
-1; 2
Tags
CCSS.HSF.IF.B.4
CCSS.HSF.IF.C.7
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