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
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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:________

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