Given y =x^2 +6/x, find x if dy/dx equals to zero. Topic: Math 1 Answer | Add Yours Top Answer nathanshields | High School Teacher | (Level 1) Associate Educator Posted on February 29, 2012 at 8:16 PM (Answer #1) 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)` We’ve answered 396,995 questions. We can answer yours, too. Ask a question

Top Answer nathanshields | High School Teacher | (Level 1) Associate Educator Posted on February 29, 2012 at 8:16 PM (Answer #1) 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)`