Concavity of Functions Over Their Domains
AP Calculus BC · Flashcards · Recall
AP CALCULUS BC · FLASHCARDS
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QUESTION
What indicates a point of inflection in terms of
f
′
′
(
x
)
f''(x)
f
′′
(
x
)
?
QUESTION
What does
f
′
′
(
x
)
<
0
f''(x) < 0
f
′′
(
x
)
<
0
indicate about a function's graph?
QUESTION
Identify the inflection point condition.
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ANSWER
f
′
′
(
x
)
=
0
f''(x) = 0
f
′′
(
x
)
=
0
or
f
′
′
(
x
)
f''(x)
f
′′
(
x
)
changes sign. Where the second derivative is zero and changes sign.
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