Question

Show that; y'' = -2x/y^5 , when x^3 - y^3 =1.

Answer 1

define y' for me

Answer 2

or just take a first derivative of the given equation, and then a second, defining y' will help simplify the second derivative overall

Answer 3

yes

Answer 4

x^3 - y^3 =1

3x^2 - 3y^2 y' = 0

6x - 6y y' - 3y^2 y'' = 0

the rest is simple algebra

Answer 5

That was close, I also had the same answer like yours. But that does not complete the proof.

Answer 6

im not here to complete your proof, i am here to guide you along the way.

Answer 7

the last setup has all the needed information for you to work with, just algebra your way thru it and simplify the results