Solve 3/p+5/p=

$$\frac { 3 } { p } + \frac { 5 } { p } =$$

Differentiate w.r.t. p

$$-\frac{8}{p^{2}}$$

Steps Using Definition of a Derivative

Since \frac{3}{p} and \frac{5}{p} have the same denominator, add them by adding their numerators. Add 3 and 5 to get 8.

$$\frac{\mathrm{d}}{\mathrm{d}p}(\frac{8}{p})$$

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

$$-8p^{-1-1}$$

Subtract 1 from -1.

$$-8p^{-2}$$

Evaluate

$$\frac{8}{p}$$

Solution Steps

Since \frac{3}{p} and \frac{5}{p} have the same denominator, add them by adding their numerators. Add 3 and 5 to get 8.

$$\frac{8}{p}$$