Using the graph of g 'shown below and the fact that g(0) = 150, find the coordinates of all the critical points and inflection points of g. (20, 10) -10 40 /15 (20 (10,-20) (a) The critical points of g occur at what points? (15 0 g'(x) X) (smaller x value) X) (larger x value) (b) The inflection points of g occur at what points? (10 -20 40 10 X) (smaller x value) X) (larger x value)

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.
Chapter9: Multivariable Calculus
Section9.3: Maxima And Minima
Problem 19E
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Using the graph of g 'shown below and the fact that g(0)
(20, 10)
(40
-10
(20
I
(10, -20)
(a) The critical points of g occur at wha points?
(15
I
I
0
I
/15
0
g'(x)
40
10
X
(b) The inflection points of g occur at what points?
(10
-20
X) (smaller x value)
X ) (larger x value)
X) (smaller x value)
X) (larger x value)
=
150, find the coordinates of all the critical points and inflection points of g.
Transcribed Image Text:Using the graph of g 'shown below and the fact that g(0) (20, 10) (40 -10 (20 I (10, -20) (a) The critical points of g occur at wha points? (15 I I 0 I /15 0 g'(x) 40 10 X (b) The inflection points of g occur at what points? (10 -20 X) (smaller x value) X ) (larger x value) X) (smaller x value) X) (larger x value) = 150, find the coordinates of all the critical points and inflection points of g.
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