Solve a/h^2diva^2/h^3

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

Evaluate

$$\frac{h}{a}$$

Solution Steps

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

$$\frac{ah^{3}}{h^{2}a^{2}}$$

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

$$\frac{h}{a}$$

Differentiate w.r.t. a

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