Given   y =x^2 +6/x,   find x if   dy/dx  equals to zero.

Expert Answers
nathanshields eNotes educator| Certified Educator

Think of it as

`y=x^2+6x^(-1)`

Then

`(dy)/(dx)=2x-6/(x^2)` by power rule.

Now we must solve

`2x=6/x^2`

`2x^3=6`

`x^3=3`

`x=root(3)(3)`