Solve -1/frac{n{1}}

$$\frac { - 1 } { \frac { n } { 1 } }$$

Differentiate w.r.t. n

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

Steps Using Definition of a Derivative

Divide -1 by \frac{n}{1} by multiplying -1 by the reciprocal of \frac{n}{1}.

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

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

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

Multiply -1 times -1.

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

Subtract 1 from -1.

$$n^{-2}$$

Evaluate

$$-\frac{1}{n}$$

Solution Steps

Divide -1 by \frac{n}{1} by multiplying -1 by the reciprocal of \frac{n}{1}.

$$\frac{-1}{n}$$