Consider the following function. f(x) = x¹/⁹ + 5 (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.). X= (b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE. increasing decreasing (c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.) (x, y) = relative maximum relative minimum (x, y) =

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: Analyzing Graphs Of Functions
Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
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Consider the following function.
f(x) = x¹/⁹ + 5
(a) Find the critical numbers of f. (Enter your answers as a comma-separated list.)
X=
(b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.
increasing
decreasing
(c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.)
relative maximum (x, y) =
relative minimum
(x, y)
Transcribed Image Text:Consider the following function. f(x) = x¹/⁹ + 5 (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) X= (b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE. increasing decreasing (c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.) relative maximum (x, y) = relative minimum (x, y)
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