The Quotient Rule
AP Calculus AB · Flashcards
AP CALCULUS AB · FLASHCARDS
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QUESTION
Differentiate
f
(
x
)
=
x
2
+
2
x
5
x
+
1
f(x) = \frac{x^2 + 2x}{5x + 1}
f
(
x
)
=
5
x
+
1
x
2
+
2
x
using the Quotient Rule.
QUESTION
Evaluate the derivative:
y
=
4
x
3
x
2
−
2
x
y = \frac{4x^3}{x^2 - 2x}
y
=
x
2
−
2
x
4
x
3
using the Quotient Rule.
QUESTION
In the Quotient Rule, what does
u
u
u
represent for
u
v
\frac{u}{v}
v
u
?
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ANSWER
Numerator function. This is the function in the numerator of the fraction
u
v
\frac{u}{v}
v
u
.
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