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Mathematics
Problem
Let
f
(
x
)
=
(
2
x
3
−
x
)
5
f(x)=(2x^{3}-x)^{5}
f
(
x
)
=
(
2
x
3
−
x
)
5
. Which of the following is
f
′
(
x
)
f'(x)
f
′
(
x
)
? a)
5
(
2
x
3
−
x
)
5
(
6
x
2
−
1
)
5(2x^{3}-x)^{5}\,(6x^{2}-1)
5
(
2
x
3
−
x
)
5
(
6
x
2
−
1
)
b)
(
2
x
3
−
x
)
4
(
6
x
2
−
1
)
(2x^{3}-x)^{4}\,(6x^{2}-1)
(
2
x
3
−
x
)
4
(
6
x
2
−
1
)
c)
5
(
2
x
3
−
x
)
4
(
6
x
2
−
1
)
5(2x^{3}-x)^{4}\,(6x^{2}-1)
5
(
2
x
3
−
x
)
4
(
6
x
2
−
1
)
d)
5
(
2
x
3
−
x
)
4
(
6
x
)
5(2x^{3}-x)^{4}\,(6x)
5
(
2
x
3
−
x
)
4
(
6
x
)
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