Solve x/2/2

$$\frac{ \frac{ x }{ 2 } }{ 2 }$$

Evaluate

$$\frac{x}{4}$$

Solution Steps

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

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

Multiply 2 and 2 to get 4.

$$\frac{x}{4}$$

Differentiate w.r.t. x

$$\frac{1}{4} = 0.25$$

Steps Using Definition of a Derivative

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

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

Multiply 2 and 2 to get 4.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x}{4})$$

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

$$\frac{1}{4}x^{1-1}$$

Subtract 1 from 1.

$$\frac{1}{4}x^{0}$$

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

$$\frac{1}{4}\times 1$$

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

$$\frac{1}{4}$$