Solve 1+b/v_{d}

$$1 + \frac { b } { v _ { d } }$$

Evaluate

$$\frac{v_{d}+b}{v_{d}}$$

Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{v_{d}}{v_{d}}.

$$\frac{v_{d}}{v_{d}}+\frac{b}{v_{d}}$$

Since \frac{v_{d}}{v_{d}} and \frac{b}{v_{d}} have the same denominator, add them by adding their numerators.

$$\frac{v_{d}+b}{v_{d}}$$

Differentiate w.r.t. v_d

$$-\frac{b}{v_{d}^{2}}$$