Solve -3/w+-5/w

$$\frac { - 3 } { w } + \frac { - 5 } { w }$$

Differentiate w.r.t. w

$$\frac{8}{w^{2}}$$

Steps Using Definition of a Derivative

Since \frac{-3}{w} and \frac{-5}{w} have the same denominator, add them by adding their numerators. Subtract 5 from -3 to get -8.

$$\frac{\mathrm{d}}{\mathrm{d}w}(\frac{-8}{w})$$

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

$$-\left(-8\right)w^{-1-1}$$

Multiply -1 times -8.

$$8w^{-1-1}$$

Subtract 1 from -1.

$$8w^{-2}$$

Evaluate

$$-\frac{8}{w}$$

Solution Steps

Since \frac{-3}{w} and \frac{-5}{w} have the same denominator, add them by adding their numerators. Subtract 5 from -3 to get -8.

$$\frac{-8}{w}$$