Solve 7/d-3/d

$$\frac { 7 } { d } - \frac { 3 } { d }$$

Differentiate w.r.t. d

$$-\frac{4}{d^{2}}$$

Steps Using Definition of a Derivative

Since \frac{7}{d} and \frac{3}{d} have the same denominator, subtract them by subtracting their numerators. Subtract 3 from 7 to get 4.

$$\frac{\mathrm{d}}{\mathrm{d}d}(\frac{4}{d})$$

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

$$-4d^{-1-1}$$

Subtract 1 from -1.

$$-4d^{-2}$$

Evaluate

$$\frac{4}{d}$$

Solution Steps

Since \frac{7}{d} and \frac{3}{d} have the same denominator, subtract them by subtracting their numerators. Subtract 3 from 7 to get 4.

$$\frac{4}{d}$$