Complete the following steps: 1) Find the Critical Values of the function 2) Find the intervals where the function is incrasing and where it is decreasing 3) Find the relative minimum and relative maximum (if any) 4) Find the points of inflection 5) Find the intervalss where the funcition is concave up and concave down 6) Graph the function 1) g(x)- 3x4-8x3 t00 -200-

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 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
icon
Related questions
Question
Complete the following steps:
1) Find the Critical Values of the function
2) Find the intervals where the function is incrasing and where it is decreasing
3) Find the relative minimum and relative maximum (if any)
4) Find the points of inflection
5) Find the intervalss where the funcition is concave up and concave down
6) Graph the function
1)
g(x)- 3x4-8x3
t00
-200-
Transcribed Image Text:Complete the following steps: 1) Find the Critical Values of the function 2) Find the intervals where the function is incrasing and where it is decreasing 3) Find the relative minimum and relative maximum (if any) 4) Find the points of inflection 5) Find the intervalss where the funcition is concave up and concave down 6) Graph the function 1) g(x)- 3x4-8x3 t00 -200-
Expert Solution
Dear student,

Since you have posted multiple subparts, as per our policy we will answer first three subparts. Please repost the other subparts separately which you'd like to get answered.

Given,

gx=3x4-8x3

Differentiating with respect to x, we get

g'x=34x3-83x2=12x3-24x2

1).

To find the critical values of the function, solve the first derivative by equating it to zero. That is,

g'x=012x3-24x2=012x2x-2=0x=0  or  x=2

Therefore critical values are x=0 & x=2.

steps

Step by step

Solved in 2 steps

Blurred answer
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