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Differentiate w.r.t. a
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\frac{\mathrm{d}}{\mathrm{d}a}(a^{2}+64)
Calculate 8 to the power of 2 and get 64.
2a^{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}.
2a^{1}
Subtract 1 from 2.
2a
For any term t, t^{1}=t.
a^{2}+64
Calculate 8 to the power of 2 and get 64.