Introduction to Optimization Problems
AP Calculus BC · Flashcards
AP CALCULUS BC · FLASHCARDS
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QUESTION
What is the role of constraints in optimization problems?
QUESTION
Why is it important to express the quantity in terms of one variable?
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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