Solve y|w/w

$$y | \frac { w } { w }$$

Evaluate

$$y$$

Solution Steps

Divide w by w to get 1.

$$y|1|$$

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.

$$y\times 1$$

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

$$y$$

Differentiate w.r.t. y

$$1$$

Steps Using Definition of a Derivative

Divide w by w to get 1.

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

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.

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

The derivative of ax^{n} is nax^{n-1}.

$$y^{1-1}$$

Subtract 1 from 1.

$$y^{0}$$

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

$$1$$