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Differentiate w.r.t. A
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\frac{\mathrm{d}}{\mathrm{d}A}(A^{12})
Multiply 4 and 3 to get 12.
12A^{12-1}
The derivative of ax^{n} is nax^{n-1}.
12A^{11}
Subtract 1 from 12.
A^{12}
Multiply 4 and 3 to get 12.