Determine the intervals on which the function is increasing/decreasing. x2/3 5 + x² f(x):

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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If you are able to also provide the local extrema.

Determine the intervals on which the function is increasing/decreasing.
x2/3
5 + x²
f(x)=
Increasing:
=
0(-√₁0)(√)
5
5
0 (-√√²/² √2)
V
0 (-√ =.=)
0 (-∞, -√2)(0₁ √²)
none of the above
Decreasing:
0 (-√√²/₁0) u (√√², 0)
o(-√√√√)
0 (-√√²+,-)
0 (-∞, -√2/) u (0,√)
none of the above
5
Transcribed Image Text:Determine the intervals on which the function is increasing/decreasing. x2/3 5 + x² f(x)= Increasing: = 0(-√₁0)(√) 5 5 0 (-√√²/² √2) V 0 (-√ =.=) 0 (-∞, -√2)(0₁ √²) none of the above Decreasing: 0 (-√√²/₁0) u (√√², 0) o(-√√√√) 0 (-√√²+,-) 0 (-∞, -√2/) u (0,√) none of the above 5
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