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Differentiate w.r.t. x
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Evaluate
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\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{x})
Apply rule a^{\log_{a}\left(b\right)}=b, where a=e and b=\frac{1}{x}.
-x^{-1-1}
The derivative of ax^{n} is nax^{n-1}.
-x^{-2}
Subtract 1 from -1.
\frac{1}{x}
Apply rule a^{\log_{a}\left(b\right)}=b, where a=e and b=\frac{1}{x}.