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Differentiate w.r.t. x
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\frac{\mathrm{d}}{\mathrm{d}x}(x^{-3})
Apply rule a^{\log_{a}\left(b\right)}=b, where a=e and b=x^{-3}.
-3x^{-3-1}
The derivative of ax^{n} is nax^{n-1}.
-3x^{-4}
Subtract 1 from -3.
x^{-3}
Apply rule a^{\log_{a}\left(b\right)}=b, where a=e and b=x^{-3}.