Solve 60:360:10:x

$$60 : 360 : 10 : x$$

Evaluate

$$\frac{1}{60x}$$

Solution Steps

Express \frac{\frac{\frac{60}{360}}{10}}{x} as a single fraction.

$$\frac{\frac{60}{360}}{10x}$$

Reduce the fraction \frac{60}{360} to lowest terms by extracting and canceling out 60.

$$\frac{\frac{1}{6}}{10x}$$

Express \frac{\frac{1}{6}}{10x} as a single fraction.

$$\frac{1}{6\times 10x}$$

Multiply 6 and 10 to get 60.

$$\frac{1}{60x}$$

Differentiate w.r.t. x

$$-\frac{1}{60x^{2}}$$

Steps Using Definition of a Derivative

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

$$-\frac{1}{60}x^{-1-1}$$

Subtract 1 from -1.

$$-\frac{1}{60}x^{-2}$$