Solve 4a+12+5a+10

$$4 a + 12 + 5 a + 10$$

Evaluate

$$9a+22$$

Solution Steps

Combine 4a and 5a to get 9a.

$$9a+12+10$$

Add 12 and 10 to get 22.

$$9a+22$$

Differentiate w.r.t. a

$$9$$

Steps Using Derivative Rule for Sum

Combine 4a and 5a to get 9a.

$$\frac{\mathrm{d}}{\mathrm{d}a}(9a+12+10)$$

Add 12 and 10 to get 22.

$$\frac{\mathrm{d}}{\mathrm{d}a}(9a+22)$$

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}.

$$9a^{1-1}$$

Subtract 1 from 1.

$$9a^{0}$$

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

$$9\times 1$$

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

$$9$$