Rate of Change at a Point
AP Calculus AB · Flashcards · Application
AP CALCULUS AB · FLASHCARDS
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QUESTION
Find
f
′
(
a
)
f'(a)
f
′
(
a
)
for
f
(
x
)
=
1
x
f(x) = \frac{1}{x}
f
(
x
)
=
x
1
at
x
=
2
x=2
x
=
2
.
QUESTION
Identify the derivative of
f
(
x
)
=
e
x
f(x)=\text{e}^x
f
(
x
)
=
e
x
at
x
=
0
x=0
x
=
0
.
QUESTION
Find the instantaneous rate of change for
f
(
x
)
=
x
2
+
2
x
f(x)=x^2+2x
f
(
x
)
=
x
2
+
2
x
at
x
=
3
x=3
x
=
3
.
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ANSWER
8.
f
′
(
x
)
=
2
x
+
2
f'(x) = 2x + 2
f
′
(
x
)
=
2
x
+
2
, so
f
′
(
3
)
=
8
f'(3) = 8
f
′
(
3
)
=
8
.
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