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Mathematics
Problem
For
y
=
(
3
x
2
−
2
x
+
1
)
4
y=(3x^{2}-2x+1)^{4}
y
=
(
3
x
2
−
2
x
+
1
)
4
, the simplified expression for
d
2
y
d
x
2
\dfrac{d^{2}y}{dx^{2}}
d
x
2
d
2
y
is a)
24
(
3
x
2
−
2
x
+
1
)
2
(
9
x
2
−
6
x
+
1
)
24(3x^{2}-2x+1)^{2}(9x^{2}-6x+1)
24
(
3
x
2
−
2
x
+
1
)
2
(
9
x
2
−
6
x
+
1
)
b)
12
(
3
x
2
−
2
x
+
1
)
2
(
21
x
2
−
14
x
+
3
)
12(3x^{2}-2x+1)^{2}(21x^{2}-14x+3)
12
(
3
x
2
−
2
x
+
1
)
2
(
21
x
2
−
14
x
+
3
)
c)
24
(
3
x
2
−
2
x
+
1
)
2
(
21
x
2
−
14
x
+
3
)
24(3x^{2}-2x+1)^{2}(21x^{2}-14x+3)
24
(
3
x
2
−
2
x
+
1
)
2
(
21
x
2
−
14
x
+
3
)
d)
24
(
3
x
2
−
2
x
+
1
)
3
(
21
x
2
−
14
x
+
3
)
24(3x^{2}-2x+1)^{3}(21x^{2}-14x+3)
24
(
3
x
2
−
2
x
+
1
)
3
(
21
x
2
−
14
x
+
3
)
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