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

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robbo1234 | Student | eNoter

Posted February 29, 2012 at 7:29 PM via web

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

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nathanshields | High School Teacher | (Level 1) Associate Educator

Posted February 29, 2012 at 8:16 PM (Answer #1)

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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)`

 

 

 

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