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

### 1 Answer | Add Yours

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)`

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)`