Solve 8a+7a+3a=

$$8 a + 7 a + 3 a =$$

Evaluate

$$18a$$

Solution Steps

Combine 8a and 7a to get 15a.

$$15a+3a$$

Combine 15a and 3a to get 18a.

$$18a$$

Differentiate w.r.t. a

$$18$$

Steps Using Definition of a Derivative

Combine 8a and 7a to get 15a.

$$\frac{\mathrm{d}}{\mathrm{d}a}(15a+3a)$$

Combine 15a and 3a to get 18a.

$$\frac{\mathrm{d}}{\mathrm{d}a}(18a)$$

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

$$18a^{1-1}$$

Subtract 1 from 1.

$$18a^{0}$$

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

$$18\times 1$$

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

$$18$$