AP Calculus AB Quiz
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ANALYTICAL APPLICATIONS OF DIFFERENTIATION
Question 1
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At
x
=
−
17
x=-17
x
=
−
17
,
F
′
(
−
17
)
=
0
F'(-17)=0
F
′
(
−
17
)
=
0
and
F
′
′
(
−
17
)
<
0
F''(-17)<0
F
′′
(
−
17
)
<
0
; classify the critical point at
x
=
−
17
x=-17
x
=
−
17
.
A
Local minimum at
x
=
−
17
x=-17
x
=
−
17
.
B
Local maximum at
x
=
−
17
x=-17
x
=
−
17
.
C
Inflection point at
x
=
−
17
x=-17
x
=
−
17
.
D
Cannot be determined from the information given.
E
Neither a maximum nor minimum because
F
′
(
−
17
)
=
0
F'(-17)=0
F
′
(
−
17
)
=
0
.
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