Business Calculus Quiz
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DERIVATIVES
Question 1
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Find the derivative,
d
y
d
x
\frac{dy}{dx}
d
x
d
y
, for the function
y
=
2
x
2
+
x
−
1
x
2
+
3
y = \frac{2x^2 + x - 1}{x^2 + 3}
y
=
x
2
+
3
2
x
2
+
x
−
1
.
A
−
x
2
+
14
x
+
3
(
x
2
+
3
)
2
\frac{-x^2 + 14x + 3}{(x^2+3)^2}
(
x
2
+
3
)
2
−
x
2
+
14
x
+
3
B
x
2
−
14
x
−
3
(
x
2
+
3
)
2
\frac{x^2 - 14x - 3}{(x^2+3)^2}
(
x
2
+
3
)
2
x
2
−
14
x
−
3
C
4
x
+
1
2
x
\frac{4x+1}{2x}
2
x
4
x
+
1
D
−
x
2
+
14
x
+
3
x
2
+
3
\frac{-x^2 + 14x + 3}{x^2+3}
x
2
+
3
−
x
2
+
14
x
+
3
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