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Differentiate w.r.t. a
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4a^{4-1}+2\times 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}.
4a^{3}+2\times 2a^{2-1}
Subtract 1 from 4.
4a^{3}+4a^{2-1}
Multiply 2 times 2.
4a^{3}+4a^{1}
Subtract 1 from 2.
4a^{3}+4a
For any term t, t^{1}=t.