Differentiate w.r.t. x
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-x^{1-1}
The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. 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.