Linear and Quadratic Rates of Change
AP Precalculus · Flashcards
AP PRECALCULUS · FLASHCARDS
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QUESTION
State the formula for the derivative of
f
(
x
)
=
a
x
2
+
b
x
+
c
f(x) = ax^2 + bx + c
f
(
x
)
=
a
x
2
+
b
x
+
c
.
QUESTION
State the formula for finding the slope of a secant line over
[
a
,
b
]
[a, b]
[
a
,
b
]
.
QUESTION
What is the instantaneous rate of change of
f
(
x
)
=
2
x
2
f(x) = 2x^2
f
(
x
)
=
2
x
2
at
x
=
−
1
x = -1
x
=
−
1
?
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ANSWER
-4. Find
f
′
(
x
)
=
4
x
f'(x) = 4x
f
′
(
x
)
=
4
x
, then evaluate at
x
=
−
1
x = -1
x
=
−
1
.
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