Example 4-3-30 - Maple Help



Chapter 4: Partial Differentiation



Section 4.3: Chain Rule



Example 4.3.30



 The composition of $f\left(x,y\right)$ with ,  produces the function $F\left(r,t\right)=f\left(x\left(r,t\right),y\left(r,t\right)\right)$. Express ${f}_{\mathrm{xx}}+{f}_{\mathrm{yy}}$ in terms of ${F}_{r},{F}_{\mathrm{rr}}$, and ${F}_{\mathrm{tt}}$.