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Let y = x^(ln x) for x > 0. What is dy/dx at x = e? | StemPy Lab
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Let y = x^(ln x) for x > 0. What is dy/dx at x = e?
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High School (11–12)
Functions and Calculus › Continuity and Differentiability
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Created by
StemPy Lab
Let
y
=
x
ln
x
y = x^{\ln x}
y
=
x
l
n
x
for
x
>
0
x > 0
x
>
0
. What is
d
y
d
x
\dfrac{dy}{dx}
d
x
d
y
at
x
=
e
x = e
x
=
e
?
e
e
e
2
2
2
2
e
2e
2
e
1
1
1
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