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).
The Point of a Horizontal Tangent and Derivative at a Point are found. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.