QUESTION 5 Let f(x) =2 x3 -6 x2 - 48 x +5 a) Show the First Derivative Test. Find critical numbers b) Graph sign diagram and show with arrows or signs where the function is increasing; where the function is de Show in interval notation where the function is increasing or decreasing c) Find Relative maximum point (x,y),Relative minimum( x,y) d) Show the Second Derivative Test; e)Graph sign diagram; Check with second derivative where is function concave up, where is concave down; Write in intervals notation where is the function concave up , where is the function concave down. f) Find the Point(s) of Inflection.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 96E: Determine if the statement is true or false. If the statement is false, then correct it and make it...
icon
Related questions
Topic Video
Question
Please help
P
QUESTION 5
Let f(x) = 2 x3 -6 x2 - 48 x +5
a) Show the First Derivative Test. Find critical numbers
b) Graph sign diagram and show with arrows or signs where the function is increasing; where the function is de
Show in interval notation where the function is increasing or decreasing
c) Find Relative maximum point (x,y),Relative minimum( x,y)
d) Show the Second Derivative Test;
e)Graph sign diagram; Check with second derivative where is function concave up, where is concave down;
Write in intervals notation where is the function concave up , where is the function concave down.
f) Find the Point(s) of Inflection.
li fauo and Submit to saue and submit. Click Save All Answers to save all answers.
Transcribed Image Text:P QUESTION 5 Let f(x) = 2 x3 -6 x2 - 48 x +5 a) Show the First Derivative Test. Find critical numbers b) Graph sign diagram and show with arrows or signs where the function is increasing; where the function is de Show in interval notation where the function is increasing or decreasing c) Find Relative maximum point (x,y),Relative minimum( x,y) d) Show the Second Derivative Test; e)Graph sign diagram; Check with second derivative where is function concave up, where is concave down; Write in intervals notation where is the function concave up , where is the function concave down. f) Find the Point(s) of Inflection. li fauo and Submit to saue and submit. Click Save All Answers to save all answers.
Expert Solution
steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Knowledge Booster
Research Design Formulation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning