Given the function f(x) = -x³+3x Find f'(x) and f"(x). Determine the following properties of the graph of f. a. Domain b. x and y intercepts c. The asymptotes (using limit definition) d. The critical points Create a table following the format below and use it to sketch the graph of

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.
Chapter7: Integration
Section7.CR: Chapter 7 Review
Problem 54CR
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Given the function
f(x) = -x³+3x
Find f'(x) and f"(x).
Determine the following properties of the graph of f.
a. Domain
b. x and y intercepts
c. The asymptotes (using limit definition)
d. The critical points
Create a table following the format below and use it to sketch the graph of f.
Intervals
F(x)
F'(x)
F"(x)
conclusion
Transcribed Image Text:Given the function f(x) = -x³+3x Find f'(x) and f"(x). Determine the following properties of the graph of f. a. Domain b. x and y intercepts c. The asymptotes (using limit definition) d. The critical points Create a table following the format below and use it to sketch the graph of f. Intervals F(x) F'(x) F"(x) conclusion
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