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Derivatives : Point of Horizontal Tangent and Derivative at a Point

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

a) 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.

b) Find the value of d^2*y/d*x^2 at the point P found in part a).

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