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Mathematics
Problem
Calculate
d
d
x
[
x
2
(
2
x
+
1
)
3
]
\dfrac{d}{dx}\bigl[x^{2}(2x+1)^{3}\bigr]
d
x
d
[
x
2
(
2
x
+
1
)
3
]
. a)
2
x
(
2
x
+
1
)
3
+
3
x
2
(
2
x
+
1
)
2
2x(2x+1)^{3} + 3x^{2}(2x+1)^{2}
2
x
(
2
x
+
1
)
3
+
3
x
2
(
2
x
+
1
)
2
b)
12
x
(
2
x
+
1
)
2
12x(2x+1)^{2}
12
x
(
2
x
+
1
)
2
c)
2
x
(
2
x
+
1
)
3
+
6
x
2
(
2
x
+
1
)
2
2x(2x+1)^{3} + 6x^{2}(2x+1)^{2}
2
x
(
2
x
+
1
)
3
+
6
x
2
(
2
x
+
1
)
2
d)
2
(
2
x
+
1
)
3
+
6
x
2
(
2
x
+
1
)
2
2(2x+1)^{3} + 6x^{2}(2x+1)^{2}
2
(
2
x
+
1
)
3
+
6
x
2
(
2
x
+
1
)
2
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