Determining Intervals on Increasing, Decreasing Functions
AP Calculus BC · Flashcards · Recall
AP CALCULUS BC · FLASHCARDS
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QUESTION
State the critical point condition for a function
f
(
x
)
f(x)
f
(
x
)
.
QUESTION
What does
f
′
(
x
)
=
(
x
−
1
)
2
f'(x) = (x-1)^2
f
′
(
x
)
=
(
x
−
1
)
2
imply about intervals of increase/decrease?
QUESTION
If
f
′
(
x
)
<
0
f'(x) < 0
f
′
(
x
)
<
0
and
f
′
′
(
x
)
>
0
f''(x) > 0
f
′′
(
x
)
>
0
, what can be said about
f
(
x
)
f(x)
f
(
x
)
?
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ANSWER
f
(
x
)
f(x)
f
(
x
)
is decreasing and concave up. Function falls while curving upward like a valley.
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