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Differentiate w.r.t. A
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\frac{\mathrm{d}}{\mathrm{d}A}(1296+A^{4})
Calculate 6 to the power of 4 and get 1296.
4A^{4-1}
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^{3}
Subtract 1 from 4.
1296+A^{4}
Calculate 6 to the power of 4 and get 1296.