Solve 8,000/x12

$$\frac { 8,000 } { x } 12$$

Evaluate

$$\frac{96000}{x}$$

Solution Steps

Express \frac{8000}{x}\times 12 as a single fraction.

$$\frac{8000\times 12}{x}$$

Multiply 8000 and 12 to get 96000.

$$\frac{96000}{x}$$

Differentiate w.r.t. x

$$-\frac{96000}{x^{2}}$$

Steps Using Definition of a Derivative

Express \frac{8000}{x}\times 12 as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{8000\times 12}{x})$$

Multiply 8000 and 12 to get 96000.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{96000}{x})$$

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

$$-96000x^{-1-1}$$

Subtract 1 from -1.

$$-96000x^{-2}$$