Solve operatornametar^-1y/x

$$\operatorname { tar } ^ { - 1 } \frac { y } { x }$$

Evaluate

$$\frac{y}{artx}$$

Solution Steps

Expand \left(tar\right)^{-1}.

$$t^{-1}a^{-1}r^{-1}\times \frac{y}{x}$$

Express t^{-1}\times \frac{y}{x} as a single fraction.

$$\frac{t^{-1}y}{x}a^{-1}r^{-1}$$

Express \frac{t^{-1}y}{x}a^{-1} as a single fraction.

$$\frac{t^{-1}ya^{-1}}{x}r^{-1}$$

Express \frac{t^{-1}ya^{-1}}{x}r^{-1} as a single fraction.

$$\frac{t^{-1}ya^{-1}r^{-1}}{x}$$

Differentiate w.r.t. x

$$-\frac{y}{artx^{2}}$$