Solve 2x+2-4-x

$$2 x + 2 - 4 - x$$

Evaluate

$$x-2$$

Solution Steps

Subtract 4 from 2 to get -2.

$$2x-2-x$$

Combine 2x and -x to get x.

$$x-2$$

Differentiate w.r.t. x

$$1$$

Steps Using Derivative Rule for Sum

Subtract 4 from 2 to get -2.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x-2-x)$$

Combine 2x and -x to get x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x-2)$$

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}.

$$x^{1-1}$$

Subtract 1 from 1.

$$x^{0}$$

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

$$1$$