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Differentiate w.r.t. x
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Evaluate
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\frac{\mathrm{d}}{\mathrm{d}x}(-x)
Apply rule a^{\log_{a}\left(b\right)}=b, where a=e and b=-x.
-x^{1-1}
The derivative of ax^{n} is nax^{n-1}.
-x^{0}
Subtract 1 from 1.
-1
For any term t except 0, t^{0}=1.