Use logarithmic differentiation to find the first derivative.
Enter your answer without fractional or negative exponents.
y
=
x
e
x
\displaystyle {y}={x}^{{{e}^{{x}}}}
y
=
x
e
x
d
y
d
x
=
\displaystyle \frac{{\left.{d}{y}\right.}}{{\left.{d}{x}\right.}}=
d
x
d
y
=
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