Find d^2y/dx^2 in terms of x and y given that 8x + 6y^2 = 8. Use the original equation to simplify your answer.
A. y'' = -(4/9y^3)
B. y'' = -9y^3
C. y'' = -4y^3
D. y'' = -27y^3
E. y'' = -(8/27y^3)
well, y' = -2/(3y), so
y" = 2/(3y^2) y'
= ...