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Mathematics
Mathematics
Problem
If
f
(
x
)
=
x
2
e
x
ln
x
f(x)=x^{2}e^{x}\ln x
f
(
x
)
=
x
2
e
x
ln
x
for
x
>
0
x>0
x
>
0
, then
f
′
(
x
)
f'(x)
f
′
(
x
)
equals a)
e
x
[
x
2
ln
x
+
2
x
+
ln
x
]
e^{x}\bigl[x^{2}\ln x+2x+\ln x\bigr]
e
x
[
x
2
ln
x
+
2
x
+
ln
x
]
b)
e
x
[
2
x
2
ln
x
+
x
]
e^{x}\bigl[2x^{2}\ln x+x\bigr]
e
x
[
2
x
2
ln
x
+
x
]
c)
e
x
[
x
2
ln
x
+
2
x
ln
x
+
x
]
e^{x}\bigl[x^{2}\ln x+2x\ln x+x\bigr]
e
x
[
x
2
ln
x
+
2
x
ln
x
+
x
]
d)
e
x
[
x
2
ln
x
+
2
x
ln
x
]
e^{x}\bigl[x^{2}\ln x+2x\ln x\bigr]
e
x
[
x
2
ln
x
+
2
x
ln
x
]
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