Second Derivative Test
AP Calculus AB · Flashcards
AP CALCULUS AB · FLASHCARDS
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QUESTION
Determine the extremum type for
f
(
x
)
=
x
2
−
4
x
f(x) = x^2 - 4x
f
(
x
)
=
x
2
−
4
x
at
x
=
2
x = 2
x
=
2
.
QUESTION
If
f
′
′
(
x
)
=
15
x
−
5
f''(x) = 15x - 5
f
′′
(
x
)
=
15
x
−
5
, find the concavity at
x
=
1
x = 1
x
=
1
.
QUESTION
Identify the first step in applying the Second Derivative Test.
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ANSWER
Find the critical points where
f
′
(
x
)
=
0
f'(x) = 0
f
′
(
x
)
=
0
or
f
′
(
x
)
f'(x)
f
′
(
x
)
is undefined. Critical points are necessary candidates for local extrema.
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