
Derivatives and Critical Points
Authored by Paul Conroy
Mathematics
12th Grade
CCSS covered
Used 1+ times

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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which one of the following statements is always true?
When a graph is increasing, its derivative is negative.
When a graph is decreasing, so is its derivative.
When a graph is decreasing, its derivative is negative.
When a graph is increasing, so is its derivative.
Tags
CCSS.HSF.IF.B.4
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
For a function g(x), g'(-2)=0 indicates that x=-2 is ________________.
3.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
If given f'(x) how would you find the intervals which the graph f(x) has a positive slope( increasing)?
f'(x) < 0 (negative)
f'(x) > 0 (positive)
f'(x) is increasing
Can't be determined
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When f'(x) changes from positive to negative, there is(are) ...
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
f' is given, which could be f?
6.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Identify the critical points of the following function:
g(x)=2x3-3x2
7.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
What is the relative maximum value?
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