Solve 2/x*2

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

Evaluate

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

Solution Steps

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

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

Multiply 2 and 2 to get 4.

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

Differentiate w.r.t. x

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

Steps Using Definition of a Derivative

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

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

Multiply 2 and 2 to get 4.

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

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

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

Subtract 1 from -1.

$$-4x^{-2}$$