Solve 30/x10

$$\frac { 30 } { x } 10$$

Evaluate

$$\frac{300}{x}$$

Solution Steps

Express \frac{30}{x}\times 10 as a single fraction.

$$\frac{30\times 10}{x}$$

Multiply 30 and 10 to get 300.

$$\frac{300}{x}$$

Differentiate w.r.t. x

$$-\frac{300}{x^{2}}$$

Steps Using Definition of a Derivative

Express \frac{30}{x}\times 10 as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{30\times 10}{x})$$

Multiply 30 and 10 to get 300.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{300}{x})$$

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

$$-300x^{-1-1}$$

Subtract 1 from -1.

$$-300x^{-2}$$