(a) The graph in the figure given below is made of line segments joined end to end. At which points of the interval [-2,6] is f' not defined? Give reasons for your answer. (b) Graph the derivative of f. -B (-2,0) -4 4- 2 (0.2) 2 6 (6,2) (1,-1) (4, -1) X "?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 56E
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(a) The graph in the figure given below is made of line segments joined end to end. At which points of the
interval [-2,6] is f' not defined? Give reasons for your answer.
(b) Graph the derivative of f.
-B
(-2,0)
-4
4-
2
3 (0.2)
2
4
6
(6,2)
8
(1,-1) (4, -1)
X
"?
Transcribed Image Text:(a) The graph in the figure given below is made of line segments joined end to end. At which points of the interval [-2,6] is f' not defined? Give reasons for your answer. (b) Graph the derivative of f. -B (-2,0) -4 4- 2 3 (0.2) 2 4 6 (6,2) 8 (1,-1) (4, -1) X "?
(a) Choose the correct answer below.
A. f' is not defined at x= -2, x=1, and x = 4 because at these points the graph has cusps
B. f' is not defined at x =0, x= 1, and x = 4 because at these points the graph has corners
OC. f' is not defined at x = -2, x = 1, and x = 4 because at these points the graph has
corners.
OD. f' is not defined at x =0, x = 1, and x = 6 because at these points the graph has cusps.
(b) Choose the correct graph of the derivative of f below.
OA.
-10
O C.
10
-6-6
oto
+
x
00
O
toto
X
HO
Ⓡ
L
OB.
10
10
P
4
bo
toto 10
8
4
OO
O
O
loto
X
10
G
Transcribed Image Text:(a) Choose the correct answer below. A. f' is not defined at x= -2, x=1, and x = 4 because at these points the graph has cusps B. f' is not defined at x =0, x= 1, and x = 4 because at these points the graph has corners OC. f' is not defined at x = -2, x = 1, and x = 4 because at these points the graph has corners. OD. f' is not defined at x =0, x = 1, and x = 6 because at these points the graph has cusps. (b) Choose the correct graph of the derivative of f below. OA. -10 O C. 10 -6-6 oto + x 00 O toto X HO Ⓡ L OB. 10 10 P 4 bo toto 10 8 4 OO O O loto X 10 G
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