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Differentiate w.r.t. x
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2\left(-8\right)x^{2-1}
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}.
-16x^{2-1}
Multiply 2 times -8.
-16x^{1}
Subtract 1 from 2.
-16x
For any term t, t^{1}=t.