Second Derivative Test 1. Find the first derivative of the function g(x) = 4x³ - 42x² + 144x. g'(x) = 2. Find the second derivative of the function. g'(x) = 3. Evaluate g"(4). g"(4) 4. Is the graph of g(x) concave up or concave down at x = 4? At = 4 the graph of g(x) is concave 5. Does the graph of g(x) have a local minimum or local maximum at x = = 4? At x = 4 there is a local

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter8: Graphing Quadratic Functions
Section: Chapter Questions
Problem 17CT
icon
Related questions
Question
Second Derivative Test
1. Find the first derivative of the function g(x) = 4x³ - 42x² + 144x.
g'(x) =
2. Find the second derivative of the function.
g"(x) =
=
3. Evaluate g"(4).
g"(4) =
=
4. Is the graph of g(x) concave up or concave down at x = 4?
At x = 4 the graph of g(x) is concave
5. Does the graph of g(x) have a local minimum or local maximum at x = 4?
At x = 4 there is a local
Transcribed Image Text:Second Derivative Test 1. Find the first derivative of the function g(x) = 4x³ - 42x² + 144x. g'(x) = 2. Find the second derivative of the function. g"(x) = = 3. Evaluate g"(4). g"(4) = = 4. Is the graph of g(x) concave up or concave down at x = 4? At x = 4 the graph of g(x) is concave 5. Does the graph of g(x) have a local minimum or local maximum at x = 4? At x = 4 there is a local
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt