dy In the xy-plane, the point (0, 2) is on the curve C. If 4t for the curve, which of the following statements is true? Зу dx = 0 and dx d'y > 0. At the point (0, 2), the curve C has a relative minimum because dx? dy At the point (0, 2), the curve C has a relative minimum because d2 O and dx? < 0. dx dy At the point (0, 2), the curve C has a relative maximum because O and d?y > 0. da dx? d?y O and dx? dy (D At the point (0, 2), the curve C has a relative maximum because dx < 0. || ||

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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dy
In the xy-plane, the point (0, 2) is on the curve C. If
4x
for the curve,
Зу
which of the following statements is true?
dx
A
At the point (0, 2), the curve C has a relative minimum because
dx
dy
0 and
dx2
d'y
0.
dy
At the point (0, 2), the curve C has a relative minimum because
dy
: 0 and
dx2
< 0.
dx
dy
At the point (0, 2), the curve C has a relative maximum because
O and
dx?
d²y
0.
dx
dy
At the point (0, 2), the curve C has a relative maximum because
dy
0 and
dx?
< 0.
dx
Transcribed Image Text:dy In the xy-plane, the point (0, 2) is on the curve C. If 4x for the curve, Зу which of the following statements is true? dx A At the point (0, 2), the curve C has a relative minimum because dx dy 0 and dx2 d'y 0. dy At the point (0, 2), the curve C has a relative minimum because dy : 0 and dx2 < 0. dx dy At the point (0, 2), the curve C has a relative maximum because O and dx? d²y 0. dx dy At the point (0, 2), the curve C has a relative maximum because dy 0 and dx? < 0. dx
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