Solve (-tu)^frac{1{3}}

$$( - t u ) ^ { \frac { 1 } { 3 } }$$

Evaluate

$$-\sqrt[3]{tu}$$

Solution Steps

Expand \left(\left(-t\right)u\right)^{\frac{1}{3}}.

$$\left(-t\right)^{\frac{1}{3}}u^{\frac{1}{3}}$$

Expand \left(-t\right)^{\frac{1}{3}}.

$$\left(-1\right)^{\frac{1}{3}}t^{\frac{1}{3}}u^{\frac{1}{3}}$$

Calculate -1 to the power of \frac{1}{3} and get -1.

$$-t^{\frac{1}{3}}u^{\frac{1}{3}}$$

Differentiate w.r.t. t

$$-\frac{\sqrt[3]{u}}{3t^{\frac{2}{3}}}$$