Solve 7a+2a+3a

$$7 a + 2 a + 3 a$$

Evaluate

$$12a$$

Solution Steps

Combine 7a and 2a to get 9a.

$$9a+3a$$

Combine 9a and 3a to get 12a.

$$12a$$

Differentiate w.r.t. a

$$12$$

Steps Using Definition of a Derivative

Combine 7a and 2a to get 9a.

$$\frac{\mathrm{d}}{\mathrm{d}a}(9a+3a)$$

Combine 9a and 3a to get 12a.

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

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

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

Subtract 1 from 1.

$$12a^{0}$$

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

$$12\times 1$$

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

$$12$$