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Differentiate w.r.t. a
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\frac{\mathrm{d}}{\mathrm{d}a}(81-4a)
Calculate 9 to the power of 2 and get 81.
-4a^{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}.
-4a^{0}
Subtract 1 from 1.
-4
For any term t except 0, t^{0}=1.
81-4a
Calculate 9 to the power of 2 and get 81.