Consider the relation y3 − 3y = x3 + 1. Homework Help ✎
in terms of x and y.
Find all points where the derivative is undefined.
You could simplify now, if you choose.
has both x and y variables.
So, before you evaluate, use the original equation
(y3 − 3y = x3 + 1) to find the y-value that corresponds with x = 0. It is possible that there will be more than one.
y3 − 3y = (0)3 + 1
y3 − 3y − 1 = 0
Use a calculator to find the THREE y-values that correspond with x = 0.