Solve -4/x-2/x

$$- \frac{ 4 }{ x } - \frac{ 2 }{ x }$$

Differentiate w.r.t. x

$$\frac{6}{x^{2}}$$

Steps Using Definition of a Derivative

Since -\frac{4}{x} and \frac{2}{x} have the same denominator, subtract them by subtracting their numerators. Subtract 2 from -4 to get -6.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{-6}{x})$$

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

$$-\left(-6\right)x^{-1-1}$$

Multiply -1 times -6.

$$6x^{-1-1}$$

Subtract 1 from -1.

$$6x^{-2}$$

Evaluate

$$-\frac{6}{x}$$

Solution Steps

Since -\frac{4}{x} and \frac{2}{x} have the same denominator, subtract them by subtracting their numerators. Subtract 2 from -4 to get -6.

$$\frac{-6}{x}$$