"in many points of the graph of the function f (x, y) = y ^ 2 * e ^ (yx ^ 2) the tang
hey, i need some help with this question: "in many points of the graph of the function f (x, y) = y ^ 2 * e ^ (yx ^ 2) the tangent plane is horizontal?"
I tried to see where the gradient = 0 and I get y=0,e ^ xy = 0, and then the answer would be: infinite
I tried to see the Taylor polynomial centered at (a, 0) and I still comes out: infinite points
I'm sure that there's a plane with equation Z=0...
My doubt is: since I am compelled to respond with an integer, where am I wrong?
Thank you
hey, i need some help with this question: "in many points of the graph of the function f (x, y) = y ^ 2 * e ^ (yx ^ 2) the tangent plane is horizontal?"
I tried to see where the gradient = 0 and I get y=0,e ^ xy = 0, and then the answer would be: infinite
I tried to see the Taylor polynomial centered at (a, 0) and I still comes out: infinite points
I'm sure that there's a plane with equation Z=0...
My doubt is: since I am compelled to respond with an integer, where am I wrong?
Thank you