First Derivative Test
AP Calculus AB · Flashcards · Application
AP CALCULUS AB · FLASHCARDS
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QUESTION
Determine the intervals where
f
(
x
)
=
x
3
−
3
x
2
+
2
f(x) = x^3 - 3x^2 + 2
f
(
x
)
=
x
3
−
3
x
2
+
2
is decreasing.
QUESTION
What is the relative extrema at
x
=
2
x = 2
x
=
2
for
f
(
x
)
=
x
3
−
3
x
2
+
2
f(x) = x^3 - 3x^2 + 2
f
(
x
)
=
x
3
−
3
x
2
+
2
?
QUESTION
Find the derivative of
f
(
x
)
=
sin
x
f(x) = \sin x
f
(
x
)
=
sin
x
.
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ANSWER
f
′
(
x
)
=
cos
x
f'(x) = \cos x
f
′
(
x
)
=
cos
x
. Derivative of sine function is cosine.
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