Example 4-3-17 - Maple Help



Chapter 4: Partial Differentiation



Section 4.3: Chain Rule



Example 4.3.17



 If $u$ is a function of $r=\sqrt{{x}^{2}+{y}^{2}+{z}^{2}}$, show that ${\left({u}_{x}\right)}^{2}+{\left({u}_{y}\right)}^{2}+{\left({u}_{z}\right)}^{2}={\left(\frac{\mathrm{du}}{\mathrm{dr}}\right)}^{2}$.