Meaning of the Derivative in Context
AP Calculus BC · Flashcards · Application
AP CALCULUS BC · FLASHCARDS
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QUESTION
Determine the meaning of
f
′
′
(
a
)
<
0
f''(a) < 0
f
′′
(
a
)
<
0
at a critical point.
QUESTION
Identify the economic meaning of
f
′
(
x
)
f'(x)
f
′
(
x
)
if
f
(
x
)
f(x)
f
(
x
)
is profit.
QUESTION
Find the meaning of
f
′
(
a
)
f'(a)
f
′
(
a
)
if
f
(
x
)
f(x)
f
(
x
)
is a cost function.
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ANSWER
The marginal cost at
x
=
a
x = a
x
=
a
. Derivative of cost function shows additional cost per unit.
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