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Mathematics
Mathematics
Problem
Let
y
y
y
be a differentiable function satisfying
y
′
(
x
)
=
2
x
x
2
+
1
y'(x)=\dfrac{2x}{x^{2}+1}
y
′
(
x
)
=
x
2
+
1
2
x
and
y
(
1
)
=
0
y(1)=0
y
(
1
)
=
0
. What is
y
(
3
)
y(3)
y
(
3
)
? a)
ln
10
\ln 10
ln
10
b)
ln
5
\ln 5
ln
5
c)
ln
25
\ln 25
ln
25
d)
ln
5
2
\ln \dfrac{5}{2}
ln
2
5
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