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Mathematics
Problem
d
d
x
(
x
log
e
x
)
=
\frac{d}{dx}(x^{\log_e x}) =
d
x
d
(
x
l
o
g
e
x
)
=
(a)
2
x
(
log
e
x
−
1
)
⋅
log
e
x
2x^{(\log_e x - 1)} \cdot \log_e x
2
x
(
l
o
g
e
x
−
1
)
⋅
lo
g
e
x
(b)
x
(
log
e
x
−
1
)
x^{(\log_e x - 1)}
x
(
l
o
g
e
x
−
1
)
(c)
2
x
log
e
x
\frac{2}{x} \log_e x
x
2
lo
g
e
x
(d)
x
(
log
e
x
−
1
)
⋅
log
e
x
x^{(\log_e x - 1)} \cdot \log_e x
x
(
l
o
g
e
x
−
1
)
⋅
lo
g
e
x
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