Solve 11/x-20/x

$$\frac { 11 } { x } - \frac { 20 } { x }$$

Differentiate w.r.t. x

$$\frac{9}{x^{2}}$$

Steps Using Definition of a Derivative

Since \frac{11}{x} and \frac{20}{x} have the same denominator, subtract them by subtracting their numerators. Subtract 20 from 11 to get -9.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{-9}{x})$$

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

$$-\left(-9\right)x^{-1-1}$$

Multiply -1 times -9.

$$9x^{-1-1}$$

Subtract 1 from -1.

$$9x^{-2}$$

Evaluate

$$-\frac{9}{x}$$

Solution Steps

Since \frac{11}{x} and \frac{20}{x} have the same denominator, subtract them by subtracting their numerators. Subtract 20 from 11 to get -9.

$$\frac{-9}{x}$$