Nicholas T.

# Chain law with functions of several variables

A function 'f' of two variables is said to be homogeneous of degree 'n' if f(tx,ty) = t^n*f(x,y) whenever t > 0.

How can I show that such a function 'f' satisfies the equation: x*(partial derivative of f with respect to x) + y*(partial derivative of f with respect to y) = n * f.