Example 4-3-8 - Maple Help



Chapter 4: Partial Differentiation



Section 4.3: Chain Rule



Example 4.3.8



 Let $F\left(x,y\right)=f\left(r\left(x,y\right),s\left(x,y\right)\right)$ be defined by the composition of $f\left(r,s\right)$ with $r=x/y$, $s=y/x$, for any sufficiently well-behaved function $f\left(r,s\right)$. Show that $x{F}_{x}+y{F}_{y}=0$.