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)