Solve 49/x-15/x=?

$$\frac { 49 } { x } - \frac { 15 } { x } = ?$$

Differentiate w.r.t. x

$$-\frac{34}{x^{2}}$$

Steps Using Definition of a Derivative

Since \frac{49}{x} and \frac{15}{x} have the same denominator, subtract them by subtracting their numerators. Subtract 15 from 49 to get 34.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{34}{x})$$

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

$$-34x^{-1-1}$$

Subtract 1 from -1.

$$-34x^{-2}$$

Evaluate

$$\frac{34}{x}$$

Solution Steps

Since \frac{49}{x} and \frac{15}{x} have the same denominator, subtract them by subtracting their numerators. Subtract 15 from 49 to get 34.

$$\frac{34}{x}$$