- #1
- 1,752
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Find the first derivitive. Simplify if possible (factor).
[tex]
\begin{array}{l}
y = x^{e^x } \\
\\
\ln y = \ln x^{e^x } \\
\\
\ln y = e^x \ln x \\
\end{array}
[/tex]
There's a similar problem in my class notes where it was solved by taking the natural log of both sides. Is this the way to go on this problem? If so, I'm stuck at this point.
[tex]
\begin{array}{l}
y = x^{e^x } \\
\\
\ln y = \ln x^{e^x } \\
\\
\ln y = e^x \ln x \\
\end{array}
[/tex]
There's a similar problem in my class notes where it was solved by taking the natural log of both sides. Is this the way to go on this problem? If so, I'm stuck at this point.