97 Function represents both the slope of the tangent to the curve and the instantaneous rate of change of the function, it is possible to use information about on Information about the other. Consider the graph of the function y-x) given in the figure (a) Over what interval(s) (a) through (a) is the rate of change of fx) positive) (Select all that apply) D. 06 De 04 (b) Over what interval(x) (a) through (a) is the rate of change of fx) negative? (Select at that apply) DA D (c) At what point(s) A through is the rate of change of fx) equal to ? (Select all that apply) DA Da Do

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Because the derivative of a function represents both the slope of the tangent to the curve and the instantaneous rate of change of the function, it is possible to use information about one to gain
Information about the other. Consider the graph of the function y-tx) given in the figure
B
tuy
@
(a) Over what interval(s) (a) through (d) is the rate of change of fx) positive) (Select all that apply)
D.
Ob
Od
a
(b) Over what interval(s) (a) through (d) is the rate of change of fx) negative? (Select all that apply)
D₂
DO
(c) At what point(s) A through e is the rate of change of fx) equal to zero? (Select all that apply)
DA
Da
De
Do
Transcribed Image Text:60 Because the derivative of a function represents both the slope of the tangent to the curve and the instantaneous rate of change of the function, it is possible to use information about one to gain Information about the other. Consider the graph of the function y-tx) given in the figure B tuy @ (a) Over what interval(s) (a) through (d) is the rate of change of fx) positive) (Select all that apply) D. Ob Od a (b) Over what interval(s) (a) through (d) is the rate of change of fx) negative? (Select all that apply) D₂ DO (c) At what point(s) A through e is the rate of change of fx) equal to zero? (Select all that apply) DA Da De Do
(a) Over what interval(s) (a) through (d) is the rate of change of f(x) positive? (Select all that apply.)
Da
Ob
Oc
Od
00
a
(b) Over what interval(s) (a) through (d) is the rate of change of f(x) negative? (Select all that apply.)
Oa
Ob
Oc
Od
Dc
OD
DE
b
(c) At what point(s) A through E is the rate of change of f(x) equal to zero? (Select all that apply.)
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Transcribed Image Text:(a) Over what interval(s) (a) through (d) is the rate of change of f(x) positive? (Select all that apply.) Da Ob Oc Od 00 a (b) Over what interval(s) (a) through (d) is the rate of change of f(x) negative? (Select all that apply.) Oa Ob Oc Od Dc OD DE b (c) At what point(s) A through E is the rate of change of f(x) equal to zero? (Select all that apply.) Need Help? d Read It MacBook Pro
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