Determining Intervals on Increasing, Decreasing Functions
AP Calculus AB · Flashcards
AP CALCULUS AB · FLASHCARDS
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QUESTION
Explain the significance of the second derivative's sign.
QUESTION
What does it mean if
f
′
(
x
)
f'(x)
f
′
(
x
)
changes sign at a point?
QUESTION
What does it mean if
f
′
(
x
)
=
0
f'(x) = 0
f
′
(
x
)
=
0
at some point?
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ANSWER
The function may have a local maximum, minimum, or saddle point. Critical points are candidates for local extrema or points of inflection.
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