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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)
y
[
x
x
(
log
e
x
)
⋅
log
x
+
x
x
]
y[x^x(\log ex) \cdot \log x + x^x]
y
[
x
x
(
lo
g
e
x
)
⋅
lo
g
x
+
x
x
]
(b)
y
[
x
x
(
log
e
x
)
⋅
log
x
+
x
]
y[x^x(\log ex) \cdot \log x + x]
y
[
x
x
(
lo
g
e
x
)
⋅
lo
g
x
+
x
]
(c)
y
[
x
x
(
log
e
x
)
⋅
log
x
+
x
x
−
1
]
y[x^x(\log ex) \cdot \log x + x^{x-1}]
y
[
x
x
(
lo
g
e
x
)
⋅
lo
g
x
+
x
x
−
1
]
(d)
y
[
x
x
(
log
e
x
)
⋅
log
x
+
x
x
−
1
]
y[x^x(\log_e x) \cdot \log x + x^{x-1}]
y
[
x
x
(
lo
g
e
x
)
⋅
lo
g
x
+
x
x
−
1
]
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