Consider g(x) = -6x³ + 14 - 14x - 16x² Determine the intervals on which g is decreasing. g is decreasing on: Og is decreasing nowhere. Determine the intervals on which g is increasing. g is increasing on: Og is increasing nowhere. Determine the value and location of any local minimum of f. Enter the solution in (x, g(x)) form. If multiple solutions exist, use a comma-separated list to enter the solutions. g has a local minimum at: 9 has no local minimum. Determine the value and location of any local maximum of f. Enter the solution in (x, g(x)) form. If multiple solutions exist, use a comma-separated list to enter the solutions. O g g has no local maximum. has a local maximum at:

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.1: Inner Product Spaces
Problem 15BEXP
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15.)
Consider g(x) = -6x³ + 14 - 14x - 16x²
Determine the intervals on which g is decreasing.
O
g is decreasing on:
g is decreasing nowhere.
Determine the intervals on which g is increasing.
g is increasing on:
O g is increasing nowhere.
Determine the value and location of any local minimum of f. Enter the solution in (x, g(x)) form. If
multiple solutions exist, use a comma-separated list to enter the solutions.
O g has a local minimum at:
9
has no local minimum.
Determine the value and location of any local maximum of f. Enter the solution in (x, g(x)) form. If
multiple solutions exist, use a comma-separated list to enter the solutions.
O
9
has a local maximum at:
9
has no local maximum.
Transcribed Image Text:Consider g(x) = -6x³ + 14 - 14x - 16x² Determine the intervals on which g is decreasing. O g is decreasing on: g is decreasing nowhere. Determine the intervals on which g is increasing. g is increasing on: O g is increasing nowhere. Determine the value and location of any local minimum of f. Enter the solution in (x, g(x)) form. If multiple solutions exist, use a comma-separated list to enter the solutions. O g has a local minimum at: 9 has no local minimum. Determine the value and location of any local maximum of f. Enter the solution in (x, g(x)) form. If multiple solutions exist, use a comma-separated list to enter the solutions. O 9 has a local maximum at: 9 has no local maximum.
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