Solve (9h+6)+(8h+9)

$$( 9 h + 6 ) + ( 8 h + 9 )$$

Evaluate

$$17h+15$$

Solution Steps

Combine 9h and 8h to get 17h.

$$17h+6+9$$

Add 6 and 9 to get 15.

$$17h+15$$

Differentiate w.r.t. h

$$17$$

Steps Using Derivative Rule for Sum

Combine 9h and 8h to get 17h.

$$\frac{\mathrm{d}}{\mathrm{d}h}(17h+6+9)$$

Add 6 and 9 to get 15.

$$\frac{\mathrm{d}}{\mathrm{d}h}(17h+15)$$

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}.

$$17h^{1-1}$$

Subtract 1 from 1.

$$17h^{0}$$

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

$$17\times 1$$

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

$$17$$