Solve (-m)^-1=

$$( - m ) ^ { - 1 } =$$

Evaluate

$$-\frac{1}{m}$$

Solution Steps

Expand \left(-m\right)^{-1}.

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

Calculate -1 to the power of -1 and get -1.

$$-m^{-1}$$

Differentiate w.r.t. m

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

Steps Using Definition of a Derivative

Expand \left(-m\right)^{-1}.

$$\frac{\mathrm{d}}{\mathrm{d}m}(\left(-1\right)^{-1}m^{-1})$$

Calculate -1 to the power of -1 and get -1.

$$\frac{\mathrm{d}}{\mathrm{d}m}(-m^{-1})$$

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

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

Multiply -1 times -1.

$$m^{-1-1}$$

Subtract 1 from -1.

$$m^{-2}$$