Solve f/a^2divf^2/a^3

$$\frac { f } { a ^ { 2 } } \div \frac { f ^ { 2 } } { a ^ { 3 } }$$

Evaluate

$$\frac{a}{f}$$

Solution Steps

Divide \frac{f}{a^{2}} by \frac{f^{2}}{a^{3}} by multiplying \frac{f}{a^{2}} by the reciprocal of \frac{f^{2}}{a^{3}}.

$$\frac{fa^{3}}{a^{2}f^{2}}$$

Cancel out fa^{2} in both numerator and denominator.

$$\frac{a}{f}$$

Differentiate w.r.t. f

$$-\frac{a}{f^{2}}$$