# How do you find the second derivative by implicit differentiation on #x^3y^3=8# ?

##### 1 Answer

Jul 31, 2014

As the first step, we will differentiate once, and apply the product rule:

For

Now, we will solve for

We can cancel off the 3, an

Now, differentiate once again. We will apply the quotient rule:

Looking back at the previous equation for

Simplifying yields: