Let $\>y\>$ be defined implicitly by the equation $\> x^{3}+y^{3} = 1$

Use implicit differentiation to find the first derivative.
$\frac{dy}{dx} =$

Use implicit differentiation to find the second derivative.
$\frac{d^2y}{dx^2} =$
Note: Your answer should only involve the variables $x$ and $y$. You should simplify your answer as much as possible before entering it into WeBWorK.

You can earn partial credit on this problem.