let's first off apply a log rule of cancellation, keeping in mind that, first off is ln(), not in(), and that ln() is just a shortcut to logₑ.
[tex]\bf \textit{Logarithm Cancellation Rules}
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log_a a^x = x\qquad \qquad \stackrel{\stackrel{\textit{we'll use this one}}{\downarrow }}{a^{log_a x}=x}
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\rule{34em}{0.25pt}\\\\
e^{ln(x)}\implies e^{log_e(x)}\implies x
\\\\\\
\cfrac{d}{dx}\left[ e^{ln(x)} \right]\implies \cfrac{d}{dx}[x]\implies 1[/tex]
