Use the graph of the derivative f' of a continuous function f is shown. (Assume f' continues to co.) y 4 y = f'(x) 2 X 2 4 18 -2 (a) On what interval(s) is f increasing? (Enter your answer using interval notation.) [1,6]U[8,00) On what interval(s) is f decreasing? (Enter your answer using interval notation.) [0,1] U [6,8] (b) At what value(s) of x does f have a local maximum? (Enter your answers as a comma-separated list.) x = 6 At what value(s) of x does f have a local minimum? (Enter your answers as a comma-separated list.) x = 1,8 (c) On what interval(s) is f concave upward? (Enter your answer using interval notation.) (0,2) U (3,5) U(7,00) On what interval(s) is f concave downward? (Enter your answer using interval notation.) (2,3) U (5,7)
Use the graph of the derivative f' of a continuous function f is shown. (Assume f' continues to co.) y 4 y = f'(x) 2 X 2 4 18 -2 (a) On what interval(s) is f increasing? (Enter your answer using interval notation.) [1,6]U[8,00) On what interval(s) is f decreasing? (Enter your answer using interval notation.) [0,1] U [6,8] (b) At what value(s) of x does f have a local maximum? (Enter your answers as a comma-separated list.) x = 6 At what value(s) of x does f have a local minimum? (Enter your answers as a comma-separated list.) x = 1,8 (c) On what interval(s) is f concave upward? (Enter your answer using interval notation.) (0,2) U (3,5) U(7,00) On what interval(s) is f concave downward? (Enter your answer using interval notation.) (2,3) U (5,7)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![Use the graph of the derivative f' of a continuous function f is shown. (Assume f' continues to ∞.)
y
-4
y = f'(x)
-2
X
6
Ⓡ
(a) On what interval(s) is f increasing? (Enter your answer using interval notation.)
[1,6]U[8,00)
X
On what interval(s) is f decreasing? (Enter your answer using interval notation.)
[0,1] U [6,8]
(b) At what value(s) of x does f have a local maximum? (Enter your answers as a comma-separated list.)
X = 6
At what value(s) of x does f have a local minimum? (Enter your answers as a comma-separated list.)
X = 1,8
(c) On what interval(s) is f concave upward? (Enter your answer using interval notation.)
(0,2) U (3,5) U(7,00)
X
On what interval(s) is f concave downward? (Enter your answer using interval notation.)
(2,3) U (5,7)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd4cf2d19-1273-44fc-b2c3-b7f3bce3f963%2F565b1df2-c798-4562-8cdb-da71c13760ee%2F7bu32ns_processed.png&w=3840&q=75)
Transcribed Image Text:Use the graph of the derivative f' of a continuous function f is shown. (Assume f' continues to ∞.)
y
-4
y = f'(x)
-2
X
6
Ⓡ
(a) On what interval(s) is f increasing? (Enter your answer using interval notation.)
[1,6]U[8,00)
X
On what interval(s) is f decreasing? (Enter your answer using interval notation.)
[0,1] U [6,8]
(b) At what value(s) of x does f have a local maximum? (Enter your answers as a comma-separated list.)
X = 6
At what value(s) of x does f have a local minimum? (Enter your answers as a comma-separated list.)
X = 1,8
(c) On what interval(s) is f concave upward? (Enter your answer using interval notation.)
(0,2) U (3,5) U(7,00)
X
On what interval(s) is f concave downward? (Enter your answer using interval notation.)
(2,3) U (5,7)
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Transcribed Image Text:Use the graph of the derivative f' of a continuous function f is shown. (Assume f' continues to co.)
y
y = f'(x)
x
-4-
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