: Establishing the topological framework for multivariable calculus. Multivariable Calculus : Differentiation in , partial derivatives, and the Dini Theorem (Implicit Function Theorem) Differential Equations
Let f(x,y) = (x^2 y) / (x^2 + y^2) for (x,y) ≠ (0,0), and f(0,0)=0. Study continuity, partial derivatives, differentiability at (0,0). y) ≠ (0