1. The problem statement, all variables and given/known data f(x , y) = y^3 + x^3 Calculate the partial derivatives fx and fy and show they are continuous at each point (x,y) ∈ R^2 2. Relevant equations A function is continuous on a region R in the xy-plane if it is continuous at each point in R A function f is continuous at the point (a,b) if lim f(x,y) = f(a,b) (x,y)->(a,b) 3. The attempt at a solution Now calculating the partial derivatives was easy. But not sure how to show show they are continuous at each point (x,y) ∈ R^2?