Solve frac{3x^-frac{1{2}}*3x^frac{1{2}}y^-frac{1{3}}}{7}

$$\frac { 3 x ^ { - \frac { 1 } { 2 } } \times 3 x ^ { \frac { 1 } { 2 } } y ^ { - \frac { 1 } { 3 } } } { 7 }$$

Evaluate

$$\frac{9}{7\sqrt[3]{y}}$$

Solution Steps

Multiply x^{-\frac{1}{2}} and x^{\frac{1}{2}} to get 1.

$$\frac{3\times 3y^{-\frac{1}{3}}}{7}$$

Multiply 3 and 3 to get 9.

$$\frac{9y^{-\frac{1}{3}}}{7}$$

Differentiate w.r.t. y

$$-\frac{3}{7y^{\frac{4}{3}}}$$