Solve x+(-31)-(-42)

$$x + ( - 31 ) - ( - 42 )$$

Evaluate

$$x+11$$

Solution Steps

The opposite of -42 is 42.

$$x-31+42$$

Add -31 and 42 to get 11.

$$x+11$$

Differentiate w.r.t. x

$$1$$

Steps Using Derivative Rule for Sum

The opposite of -42 is 42.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x-31+42)$$

Add -31 and 42 to get 11.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x+11)$$

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.

$$1$$