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Mathematics
Problem
Let
F
(
t
)
=
ln
(
4
t
+
1
)
t
3
F(t)=\dfrac{\ln(4t+1)}{t^{3}}
F
(
t
)
=
t
3
ln
(
4
t
+
1
)
. What is
F
′
(
1
)
F'(1)
F
′
(
1
)
? a)
1
5
−
3
ln
5
\dfrac{1}{5}-3\ln 5
5
1
−
3
ln
5
b)
4
−
3
ln
5
5
\dfrac{4-3\ln 5}{5}
5
4
−
3
ln
5
c)
4
5
−
3
ln
5
\dfrac{4}{5}-3\ln 5
5
4
−
3
ln
5
d)
4
5
−
ln
5
3
\dfrac{4}{5}-\dfrac{\ln 5}{3}
5
4
−
3
ln
5
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