Solve z|121|

$$z | 121 |$$

Differentiate w.r.t. z

$$121$$

Steps Using Definition of a Derivative

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of 121 is 121.

$$\frac{\mathrm{d}}{\mathrm{d}z}(z\times 121)$$

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

$$121z^{1-1}$$

Subtract 1 from 1.

$$121z^{0}$$

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

$$121\times 1$$

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

$$121$$

Evaluate

$$121z$$

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 121 is 121.

$$z\times 121$$