Solve frac{-36r^{2}s^{5}t^3}{27r^4s^2t^6}

$$\frac { - 36 r ^ { 2 } s ^ { 5 } t ^ { 3 } } { 27 r ^ { 4 } s ^ { 2 } t ^ { 6 } }$$

Evaluate

$$-\frac{4\times \left(\frac{s}{t}\right)^{3}}{3r^{2}}$$

Solution Steps

Cancel out 9r^{2}s^{2}t^{3} in both numerator and denominator.

$$\frac{-4s^{3}}{3r^{2}t^{3}}$$

Differentiate w.r.t. s

$$-\frac{4\times \left(\frac{s}{r}\right)^{2}}{t^{3}}$$