Solve frac{c_{0}}{b}div(c/ddive/f)

$$\frac { c _ { 0 } } { b } \div ( \frac { c } { d } \div \frac { e } { f } )$$

Evaluate

$$\frac{ec_{0}d}{bcf}$$

Solution Steps

Divide \frac{c_{0}}{b} by \frac{\frac{c}{d}}{\frac{e}{f}} by multiplying \frac{c_{0}}{b} by the reciprocal of \frac{\frac{c}{d}}{\frac{e}{f}}.

$$\frac{c_{0}\times \frac{e}{f}}{b\times \frac{c}{d}}$$

Express c_{0}\times \frac{e}{f} as a single fraction.

$$\frac{\frac{c_{0}e}{f}}{b\times \frac{c}{d}}$$

Express b\times \frac{c}{d} as a single fraction.

$$\frac{\frac{c_{0}e}{f}}{\frac{bc}{d}}$$

Divide \frac{c_{0}e}{f} by \frac{bc}{d} by multiplying \frac{c_{0}e}{f} by the reciprocal of \frac{bc}{d}.

$$\frac{c_{0}ed}{fbc}$$

Differentiate w.r.t. c_0

$$\frac{ed}{bcf}$$