- #1
cphill29
- 16
- 1
Homework Statement
x^6 + y^6 = -6
I have to prove that y'' = 30x^4/y^11
Homework Equations
The Attempt at a Solution
Using implicit differentiation:
6x^5 + 6y^5 dy/dx = 0
6y^5 dy/dx = -6x^5
dy/dx = -x^5/y^5
Quotient Rule:
[(y^5)(-5x^4) - (-x^5)(5y^4 dy/dx)] / (y^5)^2
[-5x^4 y^5 + (x^5) 5y^4 dy/dx] / (y^5)^2
This is where I got stuck.