Solve -2/x-1/x

$$\frac { - 2 } { x } - \frac { 1 } { x }$$

Differentiate w.r.t. x

$$\frac{3}{x^{2}}$$

Steps Using Definition of a Derivative

Since \frac{-2}{x} and \frac{1}{x} have the same denominator, subtract them by subtracting their numerators. Subtract 1 from -2 to get -3.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{-3}{x})$$

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

$$-\left(-3\right)x^{-1-1}$$

Multiply -1 times -3.

$$3x^{-1-1}$$

Subtract 1 from -1.

$$3x^{-2}$$

Evaluate

$$-\frac{3}{x}$$

Solution Steps

Since \frac{-2}{x} and \frac{1}{x} have the same denominator, subtract them by subtracting their numerators. Subtract 1 from -2 to get -3.

$$\frac{-3}{x}$$