Solve 1/4x*2

$$\frac{ 1 }{ 4 } x \times 2$$

Evaluate

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

Solution Steps

Multiply \frac{1}{4} and 2 to get \frac{2}{4}.

$$\frac{2}{4}x$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{1}{2}x$$

Differentiate w.r.t. x

$$\frac{1}{2} = 0.5$$

Steps Using Definition of a Derivative

Multiply \frac{1}{4} and 2 to get \frac{2}{4}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{2}{4}x)$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{2}x)$$

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

$$\frac{1}{2}x^{1-1}$$

Subtract 1 from 1.

$$\frac{1}{2}x^{0}$$

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

$$\frac{1}{2}\times 1$$

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

$$\frac{1}{2}$$