Solve 250/x5000/1

$$\frac{ 250 }{ x } \frac{ 5000 }{ 1 }$$

Evaluate

$$\frac{1250000}{x}$$

Solution Steps

Anything divided by one gives itself.

$$\frac{250}{x}\times 5000$$

Express \frac{250}{x}\times 5000 as a single fraction.

$$\frac{250\times 5000}{x}$$

Multiply 250 and 5000 to get 1250000.

$$\frac{1250000}{x}$$

Differentiate w.r.t. x

$$-\frac{1250000}{x^{2}}$$

Steps Using Definition of a Derivative

Anything divided by one gives itself.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{250}{x}\times 5000)$$

Express \frac{250}{x}\times 5000 as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{250\times 5000}{x})$$

Multiply 250 and 5000 to get 1250000.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1250000}{x})$$

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

$$-1250000x^{-1-1}$$

Subtract 1 from -1.

$$-1250000x^{-2}$$