Solve x+3|13

$$x + 3 | 13$$

Evaluate

$$x+39$$

Solution Steps

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of 13 is 13.

$$x+3\times 13$$

Multiply 3 and 13 to get 39.

$$x+39$$

Differentiate w.r.t. x

$$1$$

Steps Using Derivative Rule for Sum

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of 13 is 13.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x+3\times 13)$$

Multiply 3 and 13 to get 39.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x+39)$$

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.

$$1$$