
First Derivative Test
Authored by Brady Huebner
Mathematics
11th Grade - University
CCSS covered

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7 questions
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1.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Over what interval(s) is f(x) increasing?
2.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
If a function's FIRST derivative is negative at a certain point, what does that tell you?
3.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
The slope of a function is described by its ____________.
4.
MULTIPLE CHOICE QUESTION
30 sec • 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
5.
MULTIPLE CHOICE QUESTION
30 sec • 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
6.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
What is the maximum value of f(x) = x3 - 3x2 - 1 on the interval [-3, 2]?
Tags
CCSS.HSF.IF.B.4
CCSS.HSF.IF.C.7
7.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the relative minimum x value of
-4
0
12
4
Tags
CCSS.HSA.APR.B.3
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