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Mathematics
Problem
Let
g
(
x
)
=
x
2
e
3
x
g(x)=x^{2}e^{3x}
g
(
x
)
=
x
2
e
3
x
. Determine
g
′
′
(
x
)
g''(x)
g
′′
(
x
)
. a)
3
e
3
x
(
2
x
+
3
x
2
)
3e^{3x}\big(2x+3x^{2}\big)
3
e
3
x
(
2
x
+
3
x
2
)
b)
e
3
x
(
6
x
2
+
12
x
+
2
)
e^{3x}\big(6x^{2}+12x+2\big)
e
3
x
(
6
x
2
+
12
x
+
2
)
c)
e
3
x
(
9
x
2
+
12
x
+
2
)
e^{3x}\big(9x^{2}+12x+2\big)
e
3
x
(
9
x
2
+
12
x
+
2
)
d)
e
3
x
(
9
x
2
+
6
x
+
2
)
e^{3x}\big(9x^{2}+6x+2\big)
e
3
x
(
9
x
2
+
6
x
+
2
)
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