Solve (1/n+1/n)

$$( \frac { 1 } { n } + \frac { 1 } { n } )$$

Evaluate

$$\frac{2}{n}$$

Solution Steps

Combine \frac{1}{n} and \frac{1}{n} to get 2\times \frac{1}{n}.

$$2\times \frac{1}{n}$$

Express 2\times \frac{1}{n} as a single fraction.

$$\frac{2}{n}$$

Differentiate w.r.t. n

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

Steps Using Definition of a Derivative

Combine \frac{1}{n} and \frac{1}{n} to get 2\times \frac{1}{n}.

$$\frac{\mathrm{d}}{\mathrm{d}n}(2\times \frac{1}{n})$$

Express 2\times \frac{1}{n} as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}n}(\frac{2}{n})$$

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

$$-2n^{-1-1}$$

Subtract 1 from -1.

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