Solve x/2div0.25

$$\frac{ x }{ 2 } \div 0.25$$

Evaluate

$$2x$$

Solution Steps

Express \frac{\frac{x}{2}}{0.25} as a single fraction.

$$\frac{x}{2\times 0.25}$$

Multiply 2 and 0.25 to get 0.5.

$$\frac{x}{0.5}$$

Differentiate w.r.t. x

$$2$$

Steps Using Definition of a Derivative

Express \frac{\frac{x}{2}}{0.25} as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x}{2\times 0.25})$$

Multiply 2 and 0.25 to get 0.5.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x}{0.5})$$

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

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

Subtract 1 from 1.

$$2x^{0}$$

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

$$2\times 1$$

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

$$2$$