Derivative Rules of Constant, Sum, Difference
AP Calculus AB · Flashcards
AP CALCULUS AB · FLASHCARDS
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QUESTION
State the sum rule: What is
d
d
x
[
f
(
x
)
+
g
(
x
)
]
\frac{d}{dx}[f(x)+g(x)]
d
x
d
[
f
(
x
)
+
g
(
x
)]
?
QUESTION
Given
f
(
x
)
=
x
2
+
3
x
f(x) = x^2 + 3x
f
(
x
)
=
x
2
+
3
x
, find
f
′
(
x
)
f'(x)
f
′
(
x
)
.
QUESTION
What is the derivative of
c
f
(
x
)
cf(x)
c
f
(
x
)
, where
c
c
c
is a constant?
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ANSWER
(
c
f
)
′
=
c
f
′
(cf)' = cf'
(
c
f
)
′
=
c
f
′
. Constant multiple rule: factor out the constant.
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