Meaning of the Derivative in Context
AP Calculus BC · Flashcards
AP CALCULUS BC · FLASHCARDS
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QUESTION
What does the sign of
f
′
(
x
)
f'(x)
f
′
(
x
)
tell us about
f
(
x
)
f(x)
f
(
x
)
?
QUESTION
What does
f
′
(
x
)
>
0
f'(x) > 0
f
′
(
x
)
>
0
imply about a company's profit function
f
(
x
)
f(x)
f
(
x
)
?
QUESTION
What is the relationship between speed and the derivative of position?
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ANSWER
Speed is the absolute value of the velocity. Speed is magnitude of velocity, ignoring direction.
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