For the given function, find the critical points c and the intervals on which the function is increasing or decreasing. g(x) = 6x° + 6x² + 6x In addition, determine which critical points identify a local minimum and which critical points identify a local maximum. If no points or intervals exist for a particular value, enter DNE. c = DNE increasing intervals: (-0,0) decreasing intervals: (0,00) local minima at x = DNE local maxima at x = DNE

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 26E: For each function find a the critical numbers; b the open intervals where the function is...
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For the given function, find the critical points c and the intervals on which the function is increasing or decreasing.
g(x) = 6x° + 6x7 + 6x
In addition, determine which critical points identify a local minimum and which critical points identify a local maximum.
If no points or intervals exist for a particular value, enter DNE.
c =
DNE
increasing intervals:
(-0,0)
decreasing intervals:
(0,00)
local minima at x =
DNE
local maxima at x =
DNE
Transcribed Image Text:For the given function, find the critical points c and the intervals on which the function is increasing or decreasing. g(x) = 6x° + 6x7 + 6x In addition, determine which critical points identify a local minimum and which critical points identify a local maximum. If no points or intervals exist for a particular value, enter DNE. c = DNE increasing intervals: (-0,0) decreasing intervals: (0,00) local minima at x = DNE local maxima at x = DNE
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