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Differentiate w.r.t. x_7
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\frac{\mathrm{d}}{\mathrm{d}x_{7}}(7-4x_{7})
Add 4 and 3 to get 7.
-4x_{7}^{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}.
-4x_{7}^{0}
Subtract 1 from 1.
-4
For any term t except 0, t^{0}=1.
7-4x_{7}
Add 4 and 3 to get 7.