Solve (15a+9)+(5a-6)

$$( 15 a + 9 ) + ( 5 a - 6 )$$

Evaluate

$$20a+3$$

Solution Steps

Combine 15a and 5a to get 20a.

$$20a+9-6$$

Subtract 6 from 9 to get 3.

$$20a+3$$

Differentiate w.r.t. a

$$20$$

Steps Using Derivative Rule for Sum

Combine 15a and 5a to get 20a.

$$\frac{\mathrm{d}}{\mathrm{d}a}(20a+9-6)$$

Subtract 6 from 9 to get 3.

$$\frac{\mathrm{d}}{\mathrm{d}a}(20a+3)$$

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}.

$$20a^{1-1}$$

Subtract 1 from 1.

$$20a^{0}$$

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

$$20\times 1$$

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

$$20$$