Solve d/da(6a(a-2))

$$\frac { d } { d a } ( 6a ( a -2) )$$

Evaluate

$$12\left(a-1\right)$$

Steps Using Derivative Rule for Sum

Use the distributive property to multiply 6a by a-2.

$$\frac{\mathrm{d}}{\mathrm{d}a}(6a^{2}-12a)$$

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}.

$$2\times 6a^{2-1}-12a^{1-1}$$

Multiply 2 times 6.

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

Subtract 1 from 2.

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

Subtract 1 from 1.

$$12a^{1}-12a^{0}$$

For any term t, t^{1}=t.

$$12a-12a^{0}$$

For any term t except 0, t^{0}=1.

$$12a-12$$

Differentiate w.r.t. a

$$12$$