Given the following function, f(x) = -2x^3-9x^2+108x-10 , find: a) The critical numbers. b) The open intervals where the function is increasing. c) The open intervals where it is decreasing.
Given the following function, f(x) = -2x^3-9x^2+108x-10 , find: a) The critical numbers. b) The open intervals where the function is increasing. c) The open intervals where it is decreasing.
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
Section5.1: Increasing And Decreasing Functions
Problem 22E
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Question
Given the following function,
f(x) = -2x^3-9x^2+108x-10
, find:
a) The critical numbers.
b) The open intervals where the function is increasing.
c) The open intervals where it is decreasing.
d) The inflection point(s).
e) Regions where function is concave up and concave down.
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