Solve 8/x14

$$\frac { 8 } { x } 14$$

Evaluate

$$\frac{112}{x}$$

Solution Steps

Express \frac{8}{x}\times 14 as a single fraction.

$$\frac{8\times 14}{x}$$

Multiply 8 and 14 to get 112.

$$\frac{112}{x}$$

Differentiate w.r.t. x

$$-\frac{112}{x^{2}}$$

Steps Using Definition of a Derivative

Express \frac{8}{x}\times 14 as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{8\times 14}{x})$$

Multiply 8 and 14 to get 112.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{112}{x})$$

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

$$-112x^{-1-1}$$

Subtract 1 from -1.

$$-112x^{-2}$$