Second Derivative Test 1. Find the first derivative of the function g(x) = 6x° + 45x + 108x. 3. 2. (x), 6 2. Find the second derivative of the function. %3D 3. Evaluate g"(– 2). g"( – 2) : - 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 = – 2? At x = – 2 there is a local Submit Question MacBook Pro 24 2. 4. 9-

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter3: Functions
Section3.2: Domain And Range
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Second Derivative Test
1. Find the first derivative of the function g(x) = 6x° + 45x + 108x.
3.
2.
(x), 6
2. Find the second derivative of the function.
%3D
3. Evaluate g"(– 2).
g"( – 2) :
-
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 = – 2?
At x = – 2 there is a local
Submit Question
MacBook Pro
24
2.
4.
9-
Transcribed Image Text:Second Derivative Test 1. Find the first derivative of the function g(x) = 6x° + 45x + 108x. 3. 2. (x), 6 2. Find the second derivative of the function. %3D 3. Evaluate g"(– 2). g"( – 2) : - 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 = – 2? At x = – 2 there is a local Submit Question MacBook Pro 24 2. 4. 9-
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