Thursday
October 2, 2014

Homework Help: math

Posted by alison on Sunday, November 1, 2009 at 12:52pm.

question: find the points at which the graph of x^2 -4x + y62 -6y =12 has a vertical or horizontal tangent line.

I found the deriviative to be (x-2)/(3-y)

Then, the x value for a horizontal would be x=2 and the y value for a vertical would be y=3.

But how do i find the exact points. My teacher gave me these answers

Horizontal tangent at (2,8) and (2,-2)
Vertical tangent at (7,3) and (-3,3)

But i dont understand how she got those points. can someone show me?

Thanks

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