Graphs of Derivatives
Authored by Gina Ehler
Mathematics
11th - 12th Grade
CCSS covered
Used 8+ 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
30 sec • 1 pt
When f'(x) changes from positive to negative, there is(are) ...
3.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
f' is given, which could be f?
4.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Select the correct derivative of f(x).
A.
B.
C.
D.
Tags
CCSS.HSF-IF.C.7A
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Which graph is the derivative of the top graph?
Tags
CCSS.HSF.IF.B.4
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
According to the graph, at the point x=-2, is f(x) increasing or decreasing and why?
At x=-2 f(x) is increasing because the graph has a positive slope.
At x=-2 f(x) is decreasing because the graph has a positive slope.
At x=-2 f(x) is decreasing because the graph lies below the x-axis.
At x=-2 f(x) is decreasing because the graph has a negative slope
Tags
CCSS.HSF.IF.B.4
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
For what values of x does f(x) have a horizontal tangent?
-3.5, 3.5
-5, 5
there are no horizontal tangents
-5, 0, 5
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