Solve 43/x-67/x

$$\frac { 43 } { x } - \frac { 67 } { x }$$

Differentiate w.r.t. x

$$\frac{24}{x^{2}}$$

Steps Using Definition of a Derivative

Since \frac{43}{x} and \frac{67}{x} have the same denominator, subtract them by subtracting their numerators. Subtract 67 from 43 to get -24.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{-24}{x})$$

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

$$-\left(-24\right)x^{-1-1}$$

Multiply -1 times -24.

$$24x^{-1-1}$$

Subtract 1 from -1.

$$24x^{-2}$$

Evaluate

$$-\frac{24}{x}$$

Solution Steps

Since \frac{43}{x} and \frac{67}{x} have the same denominator, subtract them by subtracting their numerators. Subtract 67 from 43 to get -24.

$$\frac{-24}{x}$$