Solve 01/varepsilonvarepsilon-varepsilon/2L*q

$$\frac { 01 } { \varepsilon } \varepsilon - \frac { \varepsilon } { 2 } L \cdot q$$

Evaluate

$$-\frac{Lq\epsilon }{2}$$

Solution Steps

Multiply 0 and 1 to get 0.

$$\frac{0}{\epsilon }\epsilon -\frac{\epsilon }{2}Lq$$

Zero divided by any non-zero term gives zero.

$$0\epsilon -\frac{\epsilon }{2}Lq$$

Anything times zero gives zero.

$$0-\frac{\epsilon }{2}Lq$$

Express \frac{\epsilon }{2}L as a single fraction.

$$0-\frac{\epsilon L}{2}q$$

Express \frac{\epsilon L}{2}q as a single fraction.

$$0-\frac{\epsilon Lq}{2}$$

Anything plus zero gives itself.

$$-\frac{\epsilon Lq}{2}$$

Differentiate w.r.t. ε

$$-\frac{Lq}{2}$$