00 # 3 w/ Second Derivative Test 1. Find the first derivative of the function g(x) = 6x° + 45x + 108x. = (x),6 2. Find the second derivative of the function. (x),8 3. Evaluate g"(- 2). %3D g"( – 2) = %3D 4. Is the graph of g(x) concave up or concave down at x = – 2? At x = – 2 the graph of g(x) is concave 5. Does the graph of g(x) have a local minimum or local maximum at x = – 2? At x = – 2 there is a local Submit Question MacBook Pro 24 4. %23 2. L

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
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00
# 3
w/
Second Derivative Test
1. Find the first derivative of the function g(x) = 6x° + 45x + 108x.
= (x),6
2. Find the second derivative of the function.
(x),8
3. Evaluate g"(- 2).
%3D
g"( – 2) =
%3D
4. Is the graph of g(x) concave up or concave down at x = – 2?
At x = – 2 the graph of g(x) is concave
5. Does the graph of g(x) have a local minimum or local maximum at x = – 2?
At x = – 2 there is a local
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%23
2.
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Transcribed Image Text:00 # 3 w/ Second Derivative Test 1. Find the first derivative of the function g(x) = 6x° + 45x + 108x. = (x),6 2. Find the second derivative of the function. (x),8 3. Evaluate g"(- 2). %3D g"( – 2) = %3D 4. Is the graph of g(x) concave up or concave down at x = – 2? At x = – 2 the graph of g(x) is concave 5. Does the graph of g(x) have a local minimum or local maximum at x = – 2? At x = – 2 there is a local Submit Question MacBook Pro 24 4. %23 2. L
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