Selecting Procedures for Calculating Derivatives
AP Calculus AB · Flashcards · Application
AP CALCULUS AB · FLASHCARDS
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QUESTION
What is the derivative of
ln
(
5
x
)
\ln(5x)
ln
(
5
x
)
?
QUESTION
Differentiate
f
(
x
)
=
1
x
f(x) = \frac{1}{x}
f
(
x
)
=
x
1
using the power rule.
QUESTION
Differentiate
f
(
x
)
=
(
2
x
+
1
)
3
f(x) = (2x+1)^3
f
(
x
)
=
(
2
x
+
1
)
3
using the chain rule.
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ANSWER
f
′
(
x
)
=
3
(
2
x
+
1
)
2
⋅
2
f'(x) = 3(2x+1)^2 \cdot 2
f
′
(
x
)
=
3
(
2
x
+
1
)
2
⋅
2
. Apply chain rule: outer derivative times inner derivative.
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