Solve w(v)=frac{c_{1}*v}{frac{c_{2}v}{2}}

$$w ( v ) = \frac { c _ { 1 } \cdot v } { \frac { c _ { 2 } v } { 2 } }$$

Evaluate

$$\frac{2c_{1}}{c_{2}}$$

Solution Steps

Divide c_{1}v by \frac{c_{2}v}{2} by multiplying c_{1}v by the reciprocal of \frac{c_{2}v}{2}.

$$\frac{c_{1}v\times 2}{c_{2}v}$$

Cancel out v in both numerator and denominator.

$$\frac{2c_{1}}{c_{2}}$$

Differentiate w.r.t. c_1

$$\frac{2}{c_{2}}$$