### Home > CALC > Chapter 6 > Lesson 6.2.2 > Problem6-72

6-72.

$\frac{2}{3}x^{-1/3}+\frac{2}{3}y^{-1/3}y^\prime=0$

$\frac{2}{3}x^{-1/3}=-\frac{2}{3}y^{-1/3}y^\prime$

$y^\prime=-\frac{y^{1/3}}{x^{1/3}}$

$\frac{dy}{dx}=-\sqrt[3]{\frac{y}{x}}$

Look at the derivative equation.

Now look at the graph. There are two coordinate points in which y = 0. Does the derivative exist at those points?