Homework Help is Here – Start Your Trial Now!
Math
Calculus
Given the function g(x) = 8x³ + 12² – 48x, find the first derivative, g' (x). g'(x) = Notice that g'(x) = 0 when æ = - 2, that is, g'( – 2) = 0. Now, we want to know whether there is a local minimum or local maximum at æ = - 2, so we will use the second derivative test. Find the second derivative, g''(x). 9'"(x) = Evaluate g''( – 2). 9'"(- 2) = Based on the sign of this number, does this mean the graph of g(x) is concave up or concave down at a = - 2? At æ = - 2 the graph of g(æ) is Select an answer ♥ - 2, does this mean that there is a local minimum or local Based on the concavity of g(x) at æ maximum at a = - 2? At a = - 2 there is a local Select an answer Question Help: D Video OMessage instructor

Given the function g(x) = 8x³ + 12² – 48x, find the first derivative, g' (x). g'(x) = Notice that g'(x) = 0 when æ = - 2, that is, g'( – 2) = 0. Now, we want to know whether there is a local minimum or local maximum at æ = - 2, so we will use the second derivative test. Find the second derivative, g''(x). 9'"(x) = Evaluate g''( – 2). 9'"(- 2) = Based on the sign of this number, does this mean the graph of g(x) is concave up or concave down at a = - 2? At æ = - 2 the graph of g(æ) is Select an answer ♥ - 2, does this mean that there is a local minimum or local Based on the concavity of g(x) at æ maximum at a = - 2? At a = - 2 there is a local Select an answer Question Help: D Video OMessage instructor

Calculus For The Life Sciences
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.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 8CR
See similar textbooks
icon
Related questions
Question
Question 14 > Given the function g(x) = 8x3 + 12a? – 48x, find the first derivative, g' (x). g'(x) = Notice that g' (x) = 0 when a = - 2, that is, g'( – 2) = 0. Now, we want to know whether there is a local minimum or local maximum at z = - 2, so we will use the second derivative test. Find the second derivative, g'" (x). g'"(x) = Evaluate g''( – 2). g'"(– 2) = Based on the sign of this number, does this mean the graph of g(x) is concave up or concave down at z = – 2? At r = - 2 the graph of g(x) is Select an answer - 2, does this mean that there is a local minimum or local Based on the concavity of g(x) at a = maximum at æ = - 2? At a = - 2 there is a local Select an answer v Question Help: DVideo MMessage instructor Submit Question
Transcribed Image Text:Question 14 > Given the function g(x) = 8x3 + 12a? – 48x, find the first derivative, g' (x). g'(x) = Notice that g' (x) = 0 when a = - 2, that is, g'( – 2) = 0. Now, we want to know whether there is a local minimum or local maximum at z = - 2, so we will use the second derivative test. Find the second derivative, g'" (x). g'"(x) = Evaluate g''( – 2). g'"(– 2) = Based on the sign of this number, does this mean the graph of g(x) is concave up or concave down at z = – 2? At r = - 2 the graph of g(x) is Select an answer - 2, does this mean that there is a local minimum or local Based on the concavity of g(x) at a = maximum at æ = - 2? At a = - 2 there is a local Select an answer v Question Help: DVideo MMessage instructor Submit Question
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
SEE MORE TEXTBOOKS