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Differentiate w.r.t. A
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\frac{\mathrm{d}}{\mathrm{d}A}(-A^{2})
Combine A^{2} and -2A^{2} to get -A^{2}.
2\left(-1\right)A^{2-1}
The derivative of ax^{n} is nax^{n-1}.
-2A^{2-1}
Multiply 2 times -1.
-2A^{1}
Subtract 1 from 2.
-2A
For any term t, t^{1}=t.
-A^{2}
Combine A^{2} and -2A^{2} to get -A^{2}.