Solve -2x+5+x-4

$$- 2 x + 5 + x - 4$$

Evaluate

$$1-x$$

Solution Steps

Combine -2x and x to get -x.

$$-x+5-4$$

Subtract 4 from 5 to get 1.

$$-x+1$$

Differentiate w.r.t. x

$$-1$$

Steps Using Derivative Rule for Sum

Combine -2x and x to get -x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-x+5-4)$$

Subtract 4 from 5 to get 1.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-x+1)$$

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.

$$-1$$