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Given the function g() 4 + 30a+ 48z, find the first derivative, g' (#). g'(z) = Notice that g'(): = 0 when = -4, that is, g'(-4) = 0. Now, we want to know whether there is a local minimum or local maximum at z = 4, so we will use the second derivative test. Find the second derivative, g''(I). %3D Evaluate g'(-4). g"(-4) = Based on the sign of this number, does this mean the graph of g(x) is concave up or concave down at I = - 4? At z = – 4 the graph of g(x) is Select an answer v Based on the concavity of g(x) at a = 4, does this mean that there is a local minimum or local maximum at z = 47? At r = 4 there is a local Select an answer v Question Help: DVideo Submit Question P Type here to search

Given the function g() 4 + 30a+ 48z, find the first derivative, g' (#). g'(z) = Notice that g'(): = 0 when = -4, that is, g'(-4) = 0. Now, we want to know whether there is a local minimum or local maximum at z = 4, so we will use the second derivative test. Find the second derivative, g''(I). %3D Evaluate g'(-4). g"(-4) = Based on the sign of this number, does this mean the graph of g(x) is concave up or concave down at I = - 4? At z = – 4 the graph of g(x) is Select an answer v Based on the concavity of g(x) at a = 4, does this mean that there is a local minimum or local maximum at z = 47? At r = 4 there is a local Select an answer v Question Help: DVideo Submit Question P Type here to search

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 56E
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Question 14 Given the function g(x) 4+ 30a+48z, find the first derivative, g'(). g'(=) = Notice that g'() =0 when I = - 4, that is, g'(- 4) = 0. Now, we want to know whether there is a local minimum or local maximum at z = use the second derivative test. Find the second derivative, g''(x). - 4, so we will Evaluate g"(-4). g"(-4) = Based on the sign of this number, does this mean the graph of g(x) is concave up or concave down at I = - 4? At z = - 4 the graph of g(r) is Select an answer v Based on the concavity of g() at a = 4, does this mean that there is a local minimum or local maximum at z == 4? At r == 4 there is a local Select an answer v Question Help: DVideo Submit Question Type here to search
Transcribed Image Text:Question 14 Given the function g(x) 4+ 30a+48z, find the first derivative, g'(). g'(=) = Notice that g'() =0 when I = - 4, that is, g'(- 4) = 0. Now, we want to know whether there is a local minimum or local maximum at z = use the second derivative test. Find the second derivative, g''(x). - 4, so we will Evaluate g"(-4). g"(-4) = Based on the sign of this number, does this mean the graph of g(x) is concave up or concave down at I = - 4? At z = - 4 the graph of g(r) is Select an answer v Based on the concavity of g() at a = 4, does this mean that there is a local minimum or local maximum at z == 4? At r == 4 there is a local Select an answer v Question Help: DVideo Submit Question Type here to search
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