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Differentiate w.r.t. u
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-12u^{1-1}+2au^{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}.
-12u^{0}+2au^{2-1}
Subtract 1 from 1.
-12u^{0}+2au^{1}
Subtract 1 from 2.
-12u^{0}+2au
For any term t, t^{1}=t.
-12+2au
For any term t except 0, t^{0}=1.