Prove that if (x, y, z) is homogeneous of degree n, then x (x, y, z)

Prove that if ƒ(x, y, z) is homogeneous of degree n, then ƒ_x(x, y, z) is homogeneous of degree n − 1. Either use the limit definition or apply the Chain Rule to ƒ(λx, λy, λz).