Solve (6d+8)+(5d+5)

$$( 6 d + 8 ) + ( 5 d + 5 )$$

Evaluate

$$11d+13$$

Solution Steps

Combine 6d and 5d to get 11d.

$$11d+8+5$$

Add 8 and 5 to get 13.

$$11d+13$$

Differentiate w.r.t. d

$$11$$

Steps Using Derivative Rule for Sum

Combine 6d and 5d to get 11d.

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

Add 8 and 5 to get 13.

$$\frac{\mathrm{d}}{\mathrm{d}d}(11d+13)$$

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}.

$$11d^{1-1}$$

Subtract 1 from 1.

$$11d^{0}$$

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

$$11\times 1$$

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

$$11$$