Solve frac{u^frac{1{9}}}{1/frac{1{9}}}

$$\frac { u ^ { \frac { 1 } { 9 } } } { \frac { 1 } { \frac { 1 } { 9 } } }$$

Differentiate w.r.t. u

$$\frac{1}{81u^{\frac{8}{9}}}$$

Steps Using Definition of a Derivative

The derivative of ax^{n} is nax^{n-1}.

$$\frac{1}{9}\times \frac{1}{9}u^{\frac{1}{9}-1}$$

Multiply \frac{1}{9} times \frac{1}{9} by multiplying numerator times numerator and denominator times denominator. Then reduce the fraction to lowest terms if possible.

$$\frac{1}{81}u^{\frac{1}{9}-1}$$

Subtract 1 from \frac{1}{9}.

$$\frac{1}{81}u^{-\frac{8}{9}}$$

Evaluate

$$\frac{\sqrt[9]{u}}{9}$$