Solve 5/x+2/x

$$\frac { 5 } { x } + \frac { 2 } { x }$$

Differentiate w.r.t. x

$$-\frac{7}{x^{2}}$$

Steps Using Definition of a Derivative

Since \frac{5}{x} and \frac{2}{x} have the same denominator, add them by adding their numerators. Add 5 and 2 to get 7.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{7}{x})$$

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

$$-7x^{-1-1}$$

Subtract 1 from -1.

$$-7x^{-2}$$

Evaluate

$$\frac{7}{x}$$

Solution Steps

Since \frac{5}{x} and \frac{2}{x} have the same denominator, add them by adding their numerators. Add 5 and 2 to get 7.

$$\frac{7}{x}$$