the curve x^2+4y^2=7+3xy a. show that there is a point p with the 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^2y/dx^2 at the point p found in a. Does the curve have a local min, max, or neither at point p. please help ~

Question

the curve x^2+4y^2=7+3xy

a. show that there is a point p with the 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^2y/dx^2 at the point p found in a. Does the curve have a local min, max, or neither at point p. 

please help >~<

anonymous · Answer

$$ x^2+4y^2=7+3xy$$
$$2x +8yy'=3y+3xy'$$ solve for 
$$y'$$ set equal zero and see that x = 3 is a solution

anonymous · Answer

so you get y=2?