Solve 4*2/x

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

Evaluate

$$\frac{8}{x}$$

Solution Steps

Express 4\times \frac{2}{x} as a single fraction.

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

Multiply 4 and 2 to get 8.

$$\frac{8}{x}$$

Differentiate w.r.t. x

$$-\frac{8}{x^{2}}$$

Steps Using Definition of a Derivative

Express 4\times \frac{2}{x} as a single fraction.

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

Multiply 4 and 2 to get 8.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{8}{x})$$

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

$$-8x^{-1-1}$$

Subtract 1 from -1.

$$-8x^{-2}$$