Solve a/f^2diva^2/f^3

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

Evaluate

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

Solution Steps

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

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

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

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

Differentiate w.r.t. a

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