Solve 5-2x+x-2

$$5 - 2 x + x - 2$$

Evaluate

$$3-x$$

Solution Steps

Combine -2x and x to get -x.

$$5-x-2$$

Subtract 2 from 5 to get 3.

$$3-x$$

Differentiate w.r.t. x

$$-1$$

Steps Using Derivative Rule for Sum

Combine -2x and x to get -x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5-x-2)$$

Subtract 2 from 5 to get 3.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3-x)$$

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.

$$-1$$