Solve 8/s-11/s

$$\frac { 8 } { s } - \frac { 11 } { s }$$

Differentiate w.r.t. s

$$\frac{3}{s^{2}}$$

Steps Using Definition of a Derivative

Since \frac{8}{s} and \frac{11}{s} have the same denominator, subtract them by subtracting their numerators. Subtract 11 from 8 to get -3.

$$\frac{\mathrm{d}}{\mathrm{d}s}(\frac{-3}{s})$$

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

$$-\left(-3\right)s^{-1-1}$$

Multiply -1 times -3.

$$3s^{-1-1}$$

Subtract 1 from -1.

$$3s^{-2}$$

Evaluate

$$-\frac{3}{s}$$

Solution Steps

Since \frac{8}{s} and \frac{11}{s} have the same denominator, subtract them by subtracting their numerators. Subtract 11 from 8 to get -3.

$$\frac{-3}{s}$$