Solve (11x+11)+(8x+14)

$$( 11 x + 11 ) + ( 8 x + 14 )$$

Evaluate

$$19x+25$$

Solution Steps

Combine 11x and 8x to get 19x.

$$19x+11+14$$

Add 11 and 14 to get 25.

$$19x+25$$

Differentiate w.r.t. x

$$19$$

Steps Using Derivative Rule for Sum

Combine 11x and 8x to get 19x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(19x+11+14)$$

Add 11 and 14 to get 25.

$$\frac{\mathrm{d}}{\mathrm{d}x}(19x+25)$$

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}.

$$19x^{1-1}$$

Subtract 1 from 1.

$$19x^{0}$$

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

$$19\times 1$$

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

$$19$$