Concavity of Functions Over Their Domains
AP Calculus AB · Flashcards · Recall
AP CALCULUS AB · FLASHCARDS
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QUESTION
What is the second derivative test for concavity?
QUESTION
How does the sign of
f
′
′
(
x
)
f''(x)
f
′′
(
x
)
affect the graph of
f
(
x
)
f(x)
f
(
x
)
?
QUESTION
What does it mean for a function to be concave down?
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ANSWER
The graph is curved downwards, like a frown, and
f
′
′
(
x
)
<
0
f''(x) < 0
f
′′
(
x
)
<
0
. Negative second derivative indicates downward curvature.
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