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September 21, 2014

Homework Help: AP Calculus

Posted by Leanna on Wednesday, January 26, 2011 at 3:10pm.

Consider the curve given by x^2+4y^2=7+3xy

a) Show that dy/dx=(3y-2x)/(8y-3x)

b) Show that there is a point P with x-coordinate 3 at which the line tangent to the curve at P is horizontal. Find the y-coordinate of P.

c) Find the value of d^2y/dx^2 (second derivative) at the point P found in part b). Does the curve have a local maximum, a local minimum, or neither at the point P? Justify your answer..

The only part that I did was a). I don't really know how to find Point P for b) and c)

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