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Differentiate w.r.t. a
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\frac{\mathrm{d}}{\mathrm{d}a}(11a^{2}+5)
Combine 3a^{2} and 8a^{2} to get 11a^{2}.
2\times 11a^{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}.
22a^{2-1}
Multiply 2 times 11.
22a^{1}
Subtract 1 from 2.
22a
For any term t, t^{1}=t.
11a^{2}+5
Combine 3a^{2} and 8a^{2} to get 11a^{2}.