$\derivative{a}{(6 a (a - 2))} $

Evaluate

12\left(a-1\right)

Differentiate w.r.t. a

12

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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^{2-1}-12a^{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}.

12a^{2-1}-12a^{1-1}

Multiply 2 times 6.

12a^{1}-12a^{1-1}

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.