Consider the following function and closed interval. Find g'(x). g'(x)= g(x) = (x²-1)2/3, [-4, 2] State any discontinuities of the function on the closed interval. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) x = Find all critical numbers of the function on the closed interval. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) x = Find the absolute extrema of the function on the closed interval. Use a graphing utility to verify your results. (Round your answers to two decimal places. If an answer does not exist, enter DNE.) absolute maximum (x, y) = absolute minimum (x, y) = smaller x-value (x, y) = larger x-value

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Section2.1: Tables And Trends
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Consider the following function and closed interval.
Find g'(x).
g'(x)=
g(x) = (x²-1)2/3, [-4, 2]
State any discontinuities of the function on the closed interval. (Enter your answers as a comma-separated list. If an answer does
not exist, enter DNE.)
x =
Find all critical numbers of the function on the closed interval. (Enter your answers as a comma-separated list. If an answer does
not exist, enter DNE.)
x =
Find the absolute extrema of the function on the closed interval. Use a graphing utility to verify your results. (Round your answers
to two decimal places. If an answer does not exist, enter DNE.)
absolute maximum
(x, y) =
absolute minimum
(x, y) =
smaller x-value
(x, y) =
larger x-value
Transcribed Image Text:Consider the following function and closed interval. Find g'(x). g'(x)= g(x) = (x²-1)2/3, [-4, 2] State any discontinuities of the function on the closed interval. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) x = Find all critical numbers of the function on the closed interval. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) x = Find the absolute extrema of the function on the closed interval. Use a graphing utility to verify your results. (Round your answers to two decimal places. If an answer does not exist, enter DNE.) absolute maximum (x, y) = absolute minimum (x, y) = smaller x-value (x, y) = larger x-value
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