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