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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
x
2
ln
x
f(x)=x^{2}\ln x
f
(
x
)
=
x
2
ln
x
for
x
>
0
x>0
x
>
0
. Calculate
f
′
′
(
x
)
f''(x)
f
′′
(
x
)
. a)
2
ln
x
+
3
x
2\ln x+\dfrac{3}{x}
2
ln
x
+
x
3
b)
2
ln
x
+
3
2\ln x+3
2
ln
x
+
3
c)
2
ln
x
+
1
2\ln x+1
2
ln
x
+
1
d)
2
x
+
3
\dfrac{2}{x}+3
x
2
+
3
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