Solve 2(6/x)

$$2( \frac{ 6 }{ x } )$$

Evaluate

$$\frac{12}{x}$$

Solution Steps

Express 2\times \frac{6}{x} as a single fraction.

$$\frac{2\times 6}{x}$$

Multiply 2 and 6 to get 12.

$$\frac{12}{x}$$

Differentiate w.r.t. x

$$-\frac{12}{x^{2}}$$

Steps Using Definition of a Derivative

Express 2\times \frac{6}{x} as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{2\times 6}{x})$$

Multiply 2 and 6 to get 12.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{12}{x})$$

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

$$-12x^{-1-1}$$

Subtract 1 from -1.

$$-12x^{-2}$$