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Mathematics
Mathematics
Problem
Determine
d
d
x
(
log
2
(
x
2
+
1
)
)
\displaystyle \frac{d}{dx}\bigl(\log_2(x^{2}+1)\bigr)
d
x
d
(
lo
g
2
(
x
2
+
1
)
)
for
x
>
0
x>0
x
>
0
. a)
2
x
ln
2
x
2
+
1
\dfrac{2x\ln 2}{x^{2}+1}
x
2
+
1
2
x
ln
2
b)
2
x
(
x
2
+
1
)
ln
2
\dfrac{2x}{(x^{2}+1)\ln 2}
(
x
2
+
1
)
ln
2
2
x
c)
1
(
x
2
+
1
)
ln
2
\dfrac{1}{(x^{2}+1)\ln 2}
(
x
2
+
1
)
ln
2
1
d)
2
x
x
2
+
1
\dfrac{2x}{x^{2}+1}
x
2
+
1
2
x
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