Solve (8x-4)+(7x-4)

$$( 8 x - 4 ) + ( 7 x - 4 )$$

Evaluate

$$15x-8$$

Solution Steps

Combine 8x and 7x to get 15x.

$$15x-4-4$$

Subtract 4 from -4 to get -8.

$$15x-8$$

Differentiate w.r.t. x

$$15$$

Steps Using Derivative Rule for Sum

Combine 8x and 7x to get 15x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(15x-4-4)$$

Subtract 4 from -4 to get -8.

$$\frac{\mathrm{d}}{\mathrm{d}x}(15x-8)$$

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}.

$$15x^{1-1}$$

Subtract 1 from 1.

$$15x^{0}$$

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

$$15\times 1$$

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

$$15$$