Solve (3x-4)+(4x-6)

$$( 3 x - 4 ) + ( 4 x - 6 )$$

Evaluate

$$7x-10$$

Solution Steps

Combine 3x and 4x to get 7x.

$$7x-4-6$$

Subtract 6 from -4 to get -10.

$$7x-10$$

Differentiate w.r.t. x

$$7$$

Steps Using Derivative Rule for Sum

Combine 3x and 4x to get 7x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(7x-4-6)$$

Subtract 6 from -4 to get -10.

$$\frac{\mathrm{d}}{\mathrm{d}x}(7x-10)$$

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}.

$$7x^{1-1}$$

Subtract 1 from 1.

$$7x^{0}$$

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

$$7\times 1$$

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

$$7$$