題目 Problem (7) 若 f(x,y)=ex2+yf(x,y)=e^{x^2+y}f(x,y)=ex2+y，則 ∂100∂x50∂y50f(0,0)=(7a)‾，\frac{\partial^{100}}{\partial x^{50}\partial y^{50}}f(0,0)=\underline{\quad(7a)\quad}，∂x50∂y50∂100f(0,0)=(7a)， 且 ∂100∂x49∂y51f(0,0)=(7b)‾。\frac{\partial^{100}}{\partial x^{49}\partial y^{51}}f(0,0)=\underline{\quad(7b)\quad}。∂x49∂y51∂100f(0,0)=(7b)。 解答
