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Evaluate
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Differentiate w.r.t. a
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2a^{2}+2a+3-3a-1
Combine a^{2} and a^{2} to get 2a^{2}.
2a^{2}-a+3-1
Combine 2a and -3a to get -a.
2a^{2}-a+2
Subtract 1 from 3 to get 2.
\frac{\mathrm{d}}{\mathrm{d}a}(2a^{2}+2a+3-3a-1)
Combine a^{2} and a^{2} to get 2a^{2}.
\frac{\mathrm{d}}{\mathrm{d}a}(2a^{2}-a+3-1)
Combine 2a and -3a to get -a.
\frac{\mathrm{d}}{\mathrm{d}a}(2a^{2}-a+2)
Subtract 1 from 3 to get 2.
2\times 2a^{2-1}-a^{1-1}
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^{2-1}-a^{1-1}
Multiply 2 times 2.
4a^{1}-a^{1-1}
Subtract 1 from 2.
4a^{1}-a^{0}
Subtract 1 from 1.
4a-a^{0}
For any term t, t^{1}=t.
4a-1
For any term t except 0, t^{0}=1.