Solve z/3div4

$$\frac { z } { 3 } \div 4$$

Evaluate

$$\frac{z}{12}$$

Solution Steps

Express \frac{\frac{z}{3}}{4} as a single fraction.

$$\frac{z}{3\times 4}$$

Multiply 3 and 4 to get 12.

$$\frac{z}{12}$$

Differentiate w.r.t. z

$$\frac{1}{12} = 0.08333333333333333$$

Steps Using Definition of a Derivative

Express \frac{\frac{z}{3}}{4} as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}z}(\frac{z}{3\times 4})$$

Multiply 3 and 4 to get 12.

$$\frac{\mathrm{d}}{\mathrm{d}z}(\frac{z}{12})$$

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

$$\frac{1}{12}z^{1-1}$$

Subtract 1 from 1.

$$\frac{1}{12}z^{0}$$

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

$$\frac{1}{12}\times 1$$

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

$$\frac{1}{12}$$