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Mathematics
Mathematics
Problem
Calculate
d
d
x
(
x
3
2
x
−
1
)
\dfrac{d}{dx}\left(\dfrac{x^{3}}{2x-1}\right)
d
x
d
(
2
x
−
1
x
3
)
. a)
3
x
2
(
2
x
−
1
)
+
2
x
3
(
2
x
−
1
)
2
\dfrac{3x^{2}(2x-1)+2x^{3}}{(2x-1)^{2}}
(
2
x
−
1
)
2
3
x
2
(
2
x
−
1
)
+
2
x
3
b)
x
2
(
4
x
−
3
)
(
2
x
−
1
)
2
\dfrac{x^{2}(4x-3)}{(2x-1)^{2}}
(
2
x
−
1
)
2
x
2
(
4
x
−
3
)
c)
3
x
2
(
2
x
−
1
)
−
2
x
3
(
2
x
−
1
)
\dfrac{3x^{2}(2x-1)-2x^{3}}{(2x-1)}
(
2
x
−
1
)
3
x
2
(
2
x
−
1
)
−
2
x
3
d)
x
2
(
5
x
−
3
)
(
2
x
−
1
)
2
\dfrac{x^{2}(5x-3)}{(2x-1)^{2}}
(
2
x
−
1
)
2
x
2
(
5
x
−
3
)
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