Solve x/8/8

$$\frac { \frac { x } { 8 } } { 8 }$$

Evaluate

$$\frac{x}{64}$$

Solution Steps

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

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

Multiply 8 and 8 to get 64.

$$\frac{x}{64}$$

Differentiate w.r.t. x

$$\frac{1}{64} = 0.015625$$

Steps Using Definition of a Derivative

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

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

Multiply 8 and 8 to get 64.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x}{64})$$

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

$$\frac{1}{64}x^{1-1}$$

Subtract 1 from 1.

$$\frac{1}{64}x^{0}$$

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

$$\frac{1}{64}\times 1$$

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

$$\frac{1}{64}$$