Introduction to Optimization Problems
AP Calculus BC · Flashcards · Application
AP CALCULUS BC · FLASHCARDS
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QUESTION
Find the derivative of
f
(
x
)
=
x
3
3
−
x
f(x) = \frac{x^3}{3} - x
f
(
x
)
=
3
x
3
−
x
.
QUESTION
Find the critical points of
f
(
x
)
=
4
x
−
x
3
f(x) = 4x - x^3
f
(
x
)
=
4
x
−
x
3
.
QUESTION
Find the critical points of
f
(
x
)
=
3
x
2
−
6
x
+
2
f(x) = 3x^2 - 6x + 2
f
(
x
)
=
3
x
2
−
6
x
+
2
.
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ANSWER
x
=
1
x = 1
x
=
1
.
f
′
(
x
)
=
6
x
−
6
=
0
f'(x) = 6x - 6 = 0
f
′
(
x
)
=
6
x
−
6
=
0
gives
x
=
1
x = 1
x
=
1
.
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