The graph of y = x - ln x is concave up on which interval? concave up on (-∞,0) concave up (-00,00) never concave up concave up on (0,∞) Find the critical points for y given that y' = 2xx(x ln 2 + 2). The domain of y is (-∞, ∞0). ○ x = - ln 2, x = 0 Ох In 2' 1 x = = 0 x - 0 2 x In 2' x = 0

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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The graph of y = x - ln x is concave up on which interval?
concave up on
(-∞,0)
concave
up
(-00,00)
never concave up
concave up on
(0,∞)
Transcribed Image Text:The graph of y = x - ln x is concave up on which interval? concave up on (-∞,0) concave up (-00,00) never concave up concave up on (0,∞)
Find the critical points for y given that y' = 2xx(x ln 2 + 2). The domain
of y is (-∞, ∞0).
○ x =
- ln 2, x = 0
Ох
In 2'
1
x = = 0
x
-
0
2
x
In 2'
x = 0
Transcribed Image Text:Find the critical points for y given that y' = 2xx(x ln 2 + 2). The domain of y is (-∞, ∞0). ○ x = - ln 2, x = 0 Ох In 2' 1 x = = 0 x - 0 2 x In 2' x = 0
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