Sketch the graph of a differentiable function y=f(x) through the point (3,3) if f'(3) = 0 and satisfies the conditions given below (a) f'(x) >0 for x<3 and f'(x) < 0 for x>3 (b) f'(x) <0 for x<3 and f'(x) > 0 for x>3 (c) f'(x) > 0 for x #3 (d) f'(x) <0 for x #3 (a) Choose the correct graph below. OA A OA. (b) Choose the correct graph below. G Aу Q Q (c) Choose the correct graph below. О в. OB. ← Q Q x Q O C. O C. OD. OD. Q Q

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.CR: Chapter 9 Review
Problem 54CR
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Sketch the graph of a differentiable function y = f(x) through the point (3,3) if f'(3) = 0 and satisfies the conditions given below
(a) f'(x) > 0 for x<3 and f'(x) <0 for x>3
(b) f'(x) < 0 for x<3 and f'(x) > 0 for x>3
(c) f'(x) > 0 for x #3
(d) f'(x) < 0 for x #3
(a) Choose the correct graph below.
O A.
(b) Choose the correct graph below.
O A.
(c) Choose the correct graph below.
O
O
B.
B.
16
Q
O C.
G
O D.
D.
2
X
Transcribed Image Text:Sketch the graph of a differentiable function y = f(x) through the point (3,3) if f'(3) = 0 and satisfies the conditions given below (a) f'(x) > 0 for x<3 and f'(x) <0 for x>3 (b) f'(x) < 0 for x<3 and f'(x) > 0 for x>3 (c) f'(x) > 0 for x #3 (d) f'(x) < 0 for x #3 (a) Choose the correct graph below. O A. (b) Choose the correct graph below. O A. (c) Choose the correct graph below. O O B. B. 16 Q O C. G O D. D. 2 X
(c) Choose the correct graph below.
O A.
bu
(d) Choose the correct graph below.
O A.
-1
-6
U
O B.
O
-
-6
B.
6
G
O C.
-1
O C.
-6
-6
y
O D.
-6
O D.
-6
6
Q
Transcribed Image Text:(c) Choose the correct graph below. O A. bu (d) Choose the correct graph below. O A. -1 -6 U O B. O - -6 B. 6 G O C. -1 O C. -6 -6 y O D. -6 O D. -6 6 Q
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