Solve -f/33gdiv13f^2/11

$$\frac { - f } { 33 g } \div \frac { 13 f ^ { 2 } } { 11 }$$

Evaluate

$$-\frac{1}{39fg}$$

Solution Steps

Divide \frac{-f}{33g} by \frac{13f^{2}}{11} by multiplying \frac{-f}{33g} by the reciprocal of \frac{13f^{2}}{11}.

$$\frac{\left(-f\right)\times 11}{33g\times 13f^{2}}$$

Cancel out 11 in both numerator and denominator.

$$\frac{-f}{3\times 13gf^{2}}$$

Multiply 3 and 13 to get 39.

$$\frac{-f}{39gf^{2}}$$

Cancel out f in both numerator and denominator.

$$\frac{-1}{39fg}$$

Differentiate w.r.t. g

$$\frac{1}{39fg^{2}}$$