Extreme Value Theorem, Extrema, Critical Points
AP Calculus BC · Flashcards · Application
AP CALCULUS BC · FLASHCARDS
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QUESTION
Find
f
′
(
x
)
f'(x)
f
′
(
x
)
for
f
(
x
)
=
x
2
x
+
2
f(x) = \frac{x^2}{x+2}
f
(
x
)
=
x
+
2
x
2
.
QUESTION
Identify the critical point for
f
(
x
)
=
x
2
f(x) = x^2
f
(
x
)
=
x
2
.
QUESTION
Is
f
(
x
)
=
1
x
f(x) = \frac{1}{x}
f
(
x
)
=
x
1
on
[
1
,
3
]
[1, 3]
[
1
,
3
]
continuous?
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ANSWER
Yes,
f
(
x
)
f(x)
f
(
x
)
is continuous on
[
1
,
3
]
[1, 3]
[
1
,
3
]
. Rational functions are continuous where denominator is nonzero.
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