derivative-graphs.pdf, Lecture notes of Calculus

Graph the derivative of f. The graph of a function is given. Choose the answer that represents the graph of its derivative.

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Calculus I - Practice Problems
Chapter 3 The Derivative
Name___________________________________
MULTIPLECHOICE.Choosetheonealternativethatbestcompletesthestatementoranswersthequestion.
Solvetheproblem.
1) Thegraphofy=f(x)intheaccompanyingfigureismadeoflinesegmentsjoinedendtoend.
Graphthederivativeoff.
x
y
(-5, 0)
(-3, 2)
(0, -1)
(3, 5) (6, 5)
x
y
(-5, 0)
(-3, 2)
(0, -1)
(3, 5) (6, 5)

x
y
x
y
A)
x
-6 -4 -2 2 4 6
y
6
4
2
-2
-4
-6
x
-6 -4 -2 2 4 6
y
6
4
2
-2
-4
-6
B)
x
-6 -4 -2 2 4 6
y
6
4
2
-2
-4
-6
x
-6 -4 -2 2 4 6
y
6
4
2
-2
-4
-6
C)
x
-6 -4 -2 2 4 6
y
6
4
2
-2
-4
-6
x
-6 -4 -2 2 4 6
y
6
4
2
-2
-4
-6
D)
x
-6 -4 -2 2 4 6
y
6
4
2
-2
-4
-6
x
-6 -4 -2 2 4 6
y
6
4
2
-2
-4
-6
1)
A-1
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Calculus I - Practice Problems

Chapter 3 The Derivative

Name___________________________________

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Solve the problem.

1) The graph of y = f(x) in the accompanying figure is made of line segments joined end to end.

Graph the derivative of f.

x

y

x

y

x

y

x

y

A)

-6 -4 -2 2 4 6 x

y 6 4 2

-6 -4 -2 2 4 6 x

y 6 4 2

B)

-6 -4 -2 2 4 6 x

y 6 4 2

-6 -4 -2 2 4 6 x

y 6 4 2

C)

-6 -4 -2 2 4 6 x

y 6 4 2

-6 -4 -2 2 4 6 x

y 6 4 2

D)

-6 -4 -2 2 4 6 x

y 6 4 2

-6 -4 -2 2 4 6 x

y 6 4 2

The graph of a function is given. Choose the answer that represents the graph of its derivative.

-15 -10 -5 5 10 15 x

y 15 10 5

-15 -10 -5 5 10 15 x

y 15 10 5

A)

-15 -10 -5 5 10 15 x

y 15 10 5

-15 -10 -5 5 10 15 x

y 15 10 5

B)

-15 -10 -5 5 10 15 x

y 15 10 5

-15 -10 -5 5 10 15 x

y 15 10 5

C)

-15 -10 -5 5 10 15 x

y 15 10 5

-15 -10 -5 5 10 15 x

y 15 10 5

D)

-15 -10 -5 5 10 15 x

y 15 10 5

-15 -10 -5 5 10 15 x

y 15 10 5

-15 -10 -5 5 10 15 x

y 15 10 5

-15 -10 -5 5 10 15 x

y 15 10 5

A)

-15 -10 -5 5 10 15 x

y 15 10 5

-15 -10 -5 5 10 15 x

y 15 10 5

B)

-15 -10 -5 5 10 15 x

y 15 10 5

-15 -10 -5 5 10 15 x

y 15 10 5

C)

-15 -10 -5 5 10 15 x

y 15 10 5

-15 -10 -5 5 10 15 x

y 15 10 5

D)

-15 -10 -5 5 10 15 x

y 15 10 5

-15 -10 -5 5 10 15 x

y 15 10 5

-15 -10 -5 5 10 15 x

y 15 10 5

-15 -10 -5 5 10 15 x

y 15 10 5

A)

-15 -10 -5 5 10 15 x

y 15 10 5

-15 -10 -5 5 10 15 x

y 15 10 5

B)

-15 -10 -5 5 10 15 x

y 15 10 5

-15 -10 -5 5 10 15 x

y 15 10 5

C)

-15 -10 -5 5 10 15 x

y 15 10 5

-15 -10 -5 5 10 15 x

y 15 10 5

D)

-15 -10 -5 5 10 15 x

y 15 10 5

-15 -10 -5 5 10 15 x

y 15 10 5