Solve +b/3/frac{6{ab}}

$$\frac { + \frac { b } { 3 } } { \frac { 6 } { a b } }$$

Evaluate

$$\frac{ab^{2}}{18}$$

Solution Steps

Divide \frac{b}{3} by \frac{6}{ab} by multiplying \frac{b}{3} by the reciprocal of \frac{6}{ab}.

$$\frac{bab}{3\times 6}$$

Multiply b and b to get b^{2}.

$$\frac{b^{2}a}{3\times 6}$$

Multiply 3 and 6 to get 18.

$$\frac{b^{2}a}{18}$$

Differentiate w.r.t. a

$$\frac{b^{2}}{18}$$