7. G(x) is decreasing over (-∞, 4) and (9, ∞) and increasing over (4, 9).

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 35E
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Please answer question 7. Write out all the steps and explain what you are doing.
maximu
7. G(x) is decreasing over (-∞, 4) and (9, ∞) and
increasing over (4, 9).
8. F(x) is increasing over (-∞, 5) and (12, ∞) and
decreasing over (5, 12).
9. g(x) has a positive derivative over (-∞, -3) and a
negative derivative over (-3, ∞).
m
asdj
10. f(x) has a negative derivative over (-∞, 1) and a
positive derivative over (1, ∞).
11. F(x) has a negative derivative over (-∞, 2) and (5,9)
and a positive derivati ver (2, 5) and (9, ∞).
12. G(x) has a positive
om and a nega
deri
13. g(x) ha
positi
0 at
14. G
over, 5) and (5,8), a
(P), 3
rivative equal to
ive
over (-∞, -2) and (4,7)
(-2, 4) and (7, ∞o).
OVE
(0) and (3, 0)
neither G'(0)
,-3) and (0, 3),
(3,0), and a
3, but g'(0)
ut the derivative does
Transcribed Image Text:maximu 7. G(x) is decreasing over (-∞, 4) and (9, ∞) and increasing over (4, 9). 8. F(x) is increasing over (-∞, 5) and (12, ∞) and decreasing over (5, 12). 9. g(x) has a positive derivative over (-∞, -3) and a negative derivative over (-3, ∞). m asdj 10. f(x) has a negative derivative over (-∞, 1) and a positive derivative over (1, ∞). 11. F(x) has a negative derivative over (-∞, 2) and (5,9) and a positive derivati ver (2, 5) and (9, ∞). 12. G(x) has a positive om and a nega deri 13. g(x) ha positi 0 at 14. G over, 5) and (5,8), a (P), 3 rivative equal to ive over (-∞, -2) and (4,7) (-2, 4) and (7, ∞o). OVE (0) and (3, 0) neither G'(0) ,-3) and (0, 3), (3,0), and a 3, but g'(0) ut the derivative does
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