Solve 19000/x*80/20

$$\frac{ 19000 }{ x } \times \frac { 80 } { 20 }$$

Evaluate

$$\frac{76000}{x}$$

Solution Steps

Divide 80 by 20 to get 4.

$$\frac{19000}{x}\times 4$$

Express \frac{19000}{x}\times 4 as a single fraction.

$$\frac{19000\times 4}{x}$$

Multiply 19000 and 4 to get 76000.

$$\frac{76000}{x}$$

Differentiate w.r.t. x

$$-\frac{76000}{x^{2}}$$

Steps Using Definition of a Derivative

Divide 80 by 20 to get 4.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{19000}{x}\times 4)$$

Express \frac{19000}{x}\times 4 as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{19000\times 4}{x})$$

Multiply 19000 and 4 to get 76000.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{76000}{x})$$

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

$$-76000x^{-1-1}$$

Subtract 1 from -1.

$$-76000x^{-2}$$