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Mathematics
Mathematics
Problem
If
y
=
(
x
x
)
x
y = (x^x)^x
y
=
(
x
x
)
x
, then
d
y
d
x
=
\frac{dy}{dx} =
d
x
d
y
=
(a)
(
x
x
)
x
(
1
+
2
log
x
)
(x^x)^x(1 + 2 \log x)
(
x
x
)
x
(
1
+
2
lo
g
x
)
(b)
(
x
x
)
x
(
1
+
log
x
)
(x^x)^x(1 + \log x)
(
x
x
)
x
(
1
+
lo
g
x
)
(c)
x
(
x
x
)
x
(
1
+
2
log
x
)
x(x^x)^x(1 + 2 \log x)
x
(
x
x
)
x
(
1
+
2
lo
g
x
)
(d)
x
(
x
x
)
x
(
1
+
log
x
)
x(x^x)^x(1 + \log x)
x
(
x
x
)
x
(
1
+
lo
g
x
)
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