Solve 5x+22-6x-23

$$5 x + 22 - 6 x - 23$$

Evaluate

$$-x-1$$

Solution Steps

Combine 5x and -6x to get -x.

$$-x+22-23$$

Subtract 23 from 22 to get -1.

$$-x-1$$

Differentiate w.r.t. x

$$-1$$

Steps Using Derivative Rule for Sum

Combine 5x and -6x to get -x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-x+22-23)$$

Subtract 23 from 22 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.

$$-1$$