e. Find the second derivaitve. f''(x) = f. Use parts b through e to identify maximums as points. g. Use parts b through e to identify minimumns as points.
e. Find the second derivaitve. f''(x) = f. Use parts b through e to identify maximums as points. g. Use parts b through e to identify minimumns as points.
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.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 8CR
Related questions
Question
Please answer e-k
![Consider the function f(x) 2x³6x² 18x + 54.
=
a. Find the first derivative. f'(x) =
b. List any critical values.
c. Identify intervals of increase.
d. Identify intervals of decrease.
e. Find the second derivaitve. f''(x) =
=
f. Use parts b through e to identify maximums as points.
g. Use parts b through e to identify minimumns as points.
h. Use the second derivative to identify intervals where f(x) is concave up.
i. Use the second derivative to identify intervals where f(x) is concave down.
j. Use the second derivative to find any inflection points.
k. Upload a sketch of the function based on the information above and the intercepts.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe3110b40-8c35-4261-a939-99bc49e98f8a%2Fd1ae0445-e9df-44c1-897d-a356d3e2dd44%2Fdta2yfg_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the function f(x) 2x³6x² 18x + 54.
=
a. Find the first derivative. f'(x) =
b. List any critical values.
c. Identify intervals of increase.
d. Identify intervals of decrease.
e. Find the second derivaitve. f''(x) =
=
f. Use parts b through e to identify maximums as points.
g. Use parts b through e to identify minimumns as points.
h. Use the second derivative to identify intervals where f(x) is concave up.
i. Use the second derivative to identify intervals where f(x) is concave down.
j. Use the second derivative to find any inflection points.
k. Upload a sketch of the function based on the information above and the intercepts.
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