Question

Find y'' if x^6+y^6=1

Answer 1

x^6+y^6=1 d/dx x^6+d/dx y^6=d/dx 1 6x^5+6y^5y'=0 6y^5y'=-6x^5 y'(6y^5)=-6x^5 y'=(-6x^5 )/(6y^5) now for y'' use the quotient rule.