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April 17, 2014

Homework Help: calculus

Posted by Taeyeon on Sunday, February 26, 2012 at 2:43am.

Consider the curve defined by 2y^3+6X^2(y)- 12x^2 +6y=1 .
a. Show that dy/dx= (4x-2xy)/(x^2+y^2+1)
b. Write an equation of each horizontal tangent line to the curve.
c. The line through the origin with slope -1 is tangent to the curve at point P. Find the x and y coordinates of point P.

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