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Differentiate w.r.t. q
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2\left(-13\right)q^{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}.
-26q^{2-1}
Multiply 2 times -13.
-26q^{1}
Subtract 1 from 2.
-26q
For any term t, t^{1}=t.