Find the derivative
Using termwise division gives . Now the power rule for derivatives can be used instead of the quotient rule. This gives
. Now the power rule for derivatives can be used instead of the quotient rule. This gives
![LaTeX: f'(x) = - \frac{2}{\sqrt[3]{x}} + \frac{1}{3 x^{\frac{2}{3}}}](/equation_images/%20f%27%28x%29%20%3D%20-%20%5Cfrac%7B2%7D%7B%5Csqrt%5B3%5D%7Bx%7D%7D%20%2B%20%5Cfrac%7B1%7D%7B3%20x%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D%7D%20%20 "f'(x) = - \frac{2}{\sqrt[3]{x}} + \frac{1}{3 x^{\frac{2}{3}}}")