Second Derivative Test
AP Calculus BC · Flashcards · Recall
AP CALCULUS BC · FLASHCARDS
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QUESTION
What does
f
′
′
(
c
)
=
0
f''(c) = 0
f
′′
(
c
)
=
0
indicate about the critical point
c
c
c
?
QUESTION
What is the sign of
f
′
′
(
x
)
f''(x)
f
′′
(
x
)
if
f
(
x
)
f(x)
f
(
x
)
is concave up?
QUESTION
What does
f
′
′
(
c
)
<
0
f''(c) < 0
f
′′
(
c
)
<
0
imply about
f
(
x
)
f(x)
f
(
x
)
at
x
=
c
x=c
x
=
c
?
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ANSWER
Local maximum. Negative second derivative confirms the critical point is a maximum.
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