Solve 12a--7a

$$12 a - - 7 a$$

Evaluate

$$19a$$

Solution Steps

The opposite of -7a is 7a.

$$12a+7a$$

Combine 12a and 7a to get 19a.

$$19a$$

Differentiate w.r.t. a

$$19$$

Steps Using Definition of a Derivative

The opposite of -7a is 7a.

$$\frac{\mathrm{d}}{\mathrm{d}a}(12a+7a)$$

Combine 12a and 7a to get 19a.

$$\frac{\mathrm{d}}{\mathrm{d}a}(19a)$$

The derivative of ax^{n} is nax^{n-1}.

$$19a^{1-1}$$

Subtract 1 from 1.

$$19a^{0}$$

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

$$19\times 1$$

For any term t, t\times 1=t and 1t=t.

$$19$$