Solve 45m/mn

$$45 \frac { m } { m n }$$

Evaluate

$$\frac{45}{n}$$

Solution Steps

Cancel out m in both numerator and denominator.

$$45\times \frac{1}{n}$$

Express 45\times \frac{1}{n} as a single fraction.

$$\frac{45}{n}$$

Differentiate w.r.t. n

$$-\frac{45}{n^{2}}$$

Steps Using Definition of a Derivative

Cancel out m in both numerator and denominator.

$$\frac{\mathrm{d}}{\mathrm{d}n}(45\times \frac{1}{n})$$

Express 45\times \frac{1}{n} as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}n}(\frac{45}{n})$$

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

$$-45n^{-1-1}$$

Subtract 1 from -1.

$$-45n^{-2}$$