Solve (x/8)/2

$$\frac { ( \frac { x } { 8 } ) } { 2 }$$

Evaluate

$$\frac{x}{16}$$

Solution Steps

Express \frac{\frac{x}{8}}{2} as a single fraction.

$$\frac{x}{8\times 2}$$

Multiply 8 and 2 to get 16.

$$\frac{x}{16}$$

Differentiate w.r.t. x

$$\frac{1}{16} = 0.0625$$

Steps Using Definition of a Derivative

Express \frac{\frac{x}{8}}{2} as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x}{8\times 2})$$

Multiply 8 and 2 to get 16.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x}{16})$$

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

$$\frac{1}{16}x^{1-1}$$

Subtract 1 from 1.

$$\frac{1}{16}x^{0}$$

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

$$\frac{1}{16}\times 1$$

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

$$\frac{1}{16}$$