Solve x-1|+4

$$x - 1 | + 4$$

Evaluate

$$x-4$$

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 4 is 4.

$$x-1\times 4$$

Multiply 1 and 4 to get 4.

$$x-4$$

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 4 is 4.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x-1\times 4)$$

Multiply 1 and 4 to get 4.

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

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.

$$1$$