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Mathematics
Mathematics
Problem
Which of the following is equal to
d
d
x
(
x
x
)
\dfrac{d}{dx}\bigl(x^{x}\bigr)
d
x
d
(
x
x
)
? a)
x
x
ln
x
x^{x}\,\ln x
x
x
ln
x
b)
x
x
−
1
x^{x-1}
x
x
−
1
c)
x
x
(
ln
x
+
1
)
x^{x}\,(\ln x+1)
x
x
(
ln
x
+
1
)
d)
x
x
(
ln
x
+
1
x
)
x^{x}\,\Bigl(\,\ln x+\dfrac{1}{x}\,\Bigr)
x
x
(
ln
x
+
x
1
)
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