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Steps Using Derivative Rule for Sum
Use the distributive property to multiply by .
The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is . The derivative of is .
Multiply times .
Subtract from .
Subtract from .
For any term , .
For any term except , .

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\frac{\mathrm{d}}{\mathrm{d}a}(6a^{2}-12a)
Use the distributive property to multiply 6a by a-2.
2\times 6a^{\left(2-1\right)}-12a^{\left(1-1\right)}
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^{\left(n-1\right)}.
12a^{\left(2-1\right)}-12a^{\left(1-1\right)}
Multiply 2 times 6.
12a^{1}-12a^{\left(1-1\right)}
Subtract 1 from 2.
12a^{1}-12a^{0}
Subtract 1 from 1.
12a-12a^{0}
For any term t, t^{1}=t.
12a-12
For any term t except 0, t^{0}=1.
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