Fill in the blanks or write "none". You must use calculus and show the tests. The domain of the function f is (-infinity, -2), (-2,2), (2,infinity). The 1st and 2nd derivatives are: f'(x)= -8x/(x2-4)2 , f"(x)= 8(3x2+4)/(x2-4)3 critical number(s) of f:_________ open interval(s) where f is increasing:_________ open interval(s) where f is decreasing:_________ open inrerval(s) where f is concave upward:________ open interval(s) where f is concave downward:________ type of local extrema and the x-value where they occur:________ x-value of any point(s) of inflection:________
Fill in the blanks or write "none". You must use calculus and show the tests. The domain of the function f is (-infinity, -2), (-2,2), (2,infinity). The 1st and 2nd derivatives are: f'(x)= -8x/(x2-4)2 , f"(x)= 8(3x2+4)/(x2-4)3 critical number(s) of f:_________ open interval(s) where f is increasing:_________ open interval(s) where f is decreasing:_________ open inrerval(s) where f is concave upward:________ open interval(s) where f is concave downward:________ type of local extrema and the x-value where they occur:________ x-value of any 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
Section3.4: Operations On Functions
Problem 124E
Related questions
Question
Fill in the blanks or write "none". You must use calculus and show the tests. The domain of the function f is (-infinity, -2), (-2,2), (2,infinity). The 1st and 2nd derivatives are:
f'(x)= -8x/(x2-4)2 , f"(x)= 8(3x2+4)/(x2-4)3
critical number(s) of f:_________
open interval(s) where f is increasing:_________
open interval(s) where f is decreasing:_________
open inrerval(s) where f is concave upward:________
open interval(s) where f is concave downward:________
type of local extrema and the x-value where they occur:________
x-value of any point(s) of inflection:________
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning