The Quotient Rule
AP Calculus BC · Flashcards · Application
AP CALCULUS BC · FLASHCARDS
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QUESTION
What is the derivative of
ln
x
x
\frac{\ln x}{x}
x
l
n
x
using the Quotient Rule?
QUESTION
Identify
u
u
u
and
v
v
v
for
x
+
1
x
2
\frac{x+1}{x^2}
x
2
x
+
1
in the Quotient Rule.
QUESTION
What is the derivative of
x
4
x
2
\frac{x^4}{x^2}
x
2
x
4
using the Quotient Rule?
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ANSWER
x
2
⋅
4
x
3
−
x
4
⋅
2
x
(
x
2
)
2
\frac{x^2 \cdot 4x^3 - x^4 \cdot 2x}{(x^2)^2}
(
x
2
)
2
x
2
⋅
4
x
3
−
x
4
⋅
2
x
. Could simplify to
x
2
x^2
x
2
first, then derivative is
2
x
2x
2
x
.
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