Graph the function, considering the domain, critical points, symmetry, relative extrema, regions where the function is increasing or decreasing, inflection points, regions where the function is concave upward or concave downward, intercepts where possible, and asymptotes where applicable. f(x) = -6x³-36x² +216x-12 Find the first and second derivatives of f(x). f'(x) = f''(x)= Choose the correct graph below. О А. 1500- 15 L400 Q Q OB. 1500- 30L400 30 Q CIE O C. -30 400- -1560- 30 Q O D. -15 1400- -1500- 15

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.
Chapter5: Graphs And The Derivative
Section5.CR: Chapter 5 Review
Problem 14CR
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Graph the function, considering the domain, critical points, symmetry, relative extrema, regions where the function is increasing or decreasing, inflection points, regions where the function is concave
upward or concave downward, intercepts where possible, and asymptotes where applicable.
f(x) = -6x³-36x² +216x-12
Find the first and second derivatives of f(x).
f'(x) =
f''(x)=
Choose the correct graph below.
OA.
1500-
-15 1400-
15
Q
Q
O B.
1500-
-30L400-
30
Q
C...
O C.
400-
ti
-1500-
-30
30
Q
Q
O D.
-15
Ay
1400-
-1500-
15
Q
Q
Transcribed Image Text:Graph the function, considering the domain, critical points, symmetry, relative extrema, regions where the function is increasing or decreasing, inflection points, regions where the function is concave upward or concave downward, intercepts where possible, and asymptotes where applicable. f(x) = -6x³-36x² +216x-12 Find the first and second derivatives of f(x). f'(x) = f''(x)= Choose the correct graph below. OA. 1500- -15 1400- 15 Q Q O B. 1500- -30L400- 30 Q C... O C. 400- ti -1500- -30 30 Q Q O D. -15 Ay 1400- -1500- 15 Q Q
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