Solve x|1*1

$$x | 1 \times 1$$

Evaluate

$$x$$

Solution Steps

Multiply 1 and 1 to get 1.

$$x|1|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of 1 is 1.

$$x\times 1$$

For any term t, t\times 1=t and 1t=t.

$$x$$

Differentiate w.r.t. x

$$1$$

Steps Using Definition of a Derivative

Multiply 1 and 1 to get 1.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x|1|)$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of 1 is 1.

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

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.

$$1$$