- #1
misterau
- 20
- 0
Homework Statement
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
Homework 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)
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?