Solve (2a-8)+(3a+11)

$$( 2 a - 8 ) + ( 3 a + 11 )$$

Evaluate

$$5a+3$$

Solution Steps

Combine 2a and 3a to get 5a.

$$5a-8+11$$

Add -8 and 11 to get 3.

$$5a+3$$

Differentiate w.r.t. a

$$5$$

Steps Using Derivative Rule for Sum

Combine 2a and 3a to get 5a.

$$\frac{\mathrm{d}}{\mathrm{d}a}(5a-8+11)$$

Add -8 and 11 to get 3.

$$\frac{\mathrm{d}}{\mathrm{d}a}(5a+3)$$

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}.

$$5a^{1-1}$$

Subtract 1 from 1.

$$5a^{0}$$

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

$$5\times 1$$

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

$$5$$