Provide an appropriate response. Consider this graph. a b. de x Using the graph and the intervals noted, explain how the first derivative of the depicted function indicates whether the function is increasing or decreasing. O The first derivative is positive on the intervals (a, b) and (c, d), which indicates that the function is decreasing on these intervals. The first derivative is negative on the intervals (b, c) and (d, e), which indicates that the function is increasing on these intervals. The first derivative is positive on the intervals (a, b) and (c, d), which indicates that the function is increasing on these intervals. The first derivative is negative on the intervals (b, c) and (d, e), which indicates that the function is decreasing on these intervals. The first derivative is negative on the intervals (a, b) and (c, d), which indicates that the function is decreasing on these intervals. The first derivative is positive on the intervals (b, c) and (d, e), which indicates that the function is increasing on these intervals. O The first derivative is negative on the intervals (a, b) and (c, d), which indicates that the function is increasing on these intervals. The first derivative is positive on the intervals (b, c) and (d, e), which indicates that the function is decreasing on these intervals.

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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Provide an appropriate response.
Consider this graph.
y
de x
Using the graph and the intervals noted, explain how the first derivative of the depicted function
indicates whether the function is increasing or decreasing.
The first derivative is positive on the intervals (a, b) and (c, d), which indicates that the function is decreasing
on these intervals. The first derivative is negative on the intervals (b, c) and (d, e), which indicates that the
function is increasing on these intervals.
The first derivative is positive on the intervals (a, b) and (c, d), which indicates that the function is increasing
on these intervals. The first derivative is negative on the intervals (b, c) and (d, e), which indicates that the
function is decreasing on these intervals.
O The first derivative is negative on the intervals (a, b) and (c, d), which indicates that the function is
decreasing on these intervals. The first derivative is positive on the intervals (b, c) and (d, e), which indicates
that the function is increasing on these intervals.
The first derivative is negative on the intervals (a, b) and (c, d), which indicates that the function is increasing
on these intervals. The first derivative is positive on the intervals (b, c) and (d, e), which indicates that the
function is decreasing on these intervals.
Transcribed Image Text:Provide an appropriate response. Consider this graph. y de x Using the graph and the intervals noted, explain how the first derivative of the depicted function indicates whether the function is increasing or decreasing. The first derivative is positive on the intervals (a, b) and (c, d), which indicates that the function is decreasing on these intervals. The first derivative is negative on the intervals (b, c) and (d, e), which indicates that the function is increasing on these intervals. The first derivative is positive on the intervals (a, b) and (c, d), which indicates that the function is increasing on these intervals. The first derivative is negative on the intervals (b, c) and (d, e), which indicates that the function is decreasing on these intervals. O The first derivative is negative on the intervals (a, b) and (c, d), which indicates that the function is decreasing on these intervals. The first derivative is positive on the intervals (b, c) and (d, e), which indicates that the function is increasing on these intervals. The first derivative is negative on the intervals (a, b) and (c, d), which indicates that the function is increasing on these intervals. The first derivative is positive on the intervals (b, c) and (d, e), which indicates that the function is decreasing on these intervals.
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