Solve 180-x-x+73.5

$$180-x-x+73.5$$

Evaluate

$$253.5-2x$$

Solution Steps

Combine -x and -x to get -2x.

$$180-2x+73.5$$

Add 180 and 73.5 to get 253.5.

$$253.5-2x$$

Differentiate w.r.t. x

$$-2$$

Steps Using Derivative Rule for Sum

Combine -x and -x to get -2x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(180-2x+73.5)$$

Add 180 and 73.5 to get 253.5.

$$\frac{\mathrm{d}}{\mathrm{d}x}(253.5-2x)$$

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}.

$$-2x^{1-1}$$

Subtract 1 from 1.

$$-2x^{0}$$

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

$$-2$$