Solve (1)(2)(-1/n)

$$( 1 ) ( 2 ) ( - \frac { 1 } { n } )$$

Evaluate

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

Solution Steps

Multiply 1 and 2 to get 2.

$$2\left(-\frac{1}{n}\right)$$

Express 2\left(-\frac{1}{n}\right) as a single fraction.

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

Differentiate w.r.t. n

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

Steps Using Definition of a Derivative

Multiply 1 and 2 to get 2.

$$\frac{\mathrm{d}}{\mathrm{d}n}(2\left(-\frac{1}{n}\right))$$

Express 2\left(-\frac{1}{n}\right) as a single fraction.

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

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

$$-\left(-2\right)n^{-1-1}$$

Multiply -1 times -2.

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

Subtract 1 from -1.

$$2n^{-2}$$