Homework Statement
z = ƒ(x,y), x = rcos(θ), y = rsin(θ)
Use the chain rule to show that:
\frac{1}{r^{2}}\frac{\partial ^{2} z}{\partial \theta ^{2}} = sin^{2}(\theta)\frac{\partial ^{2} z}{\partial x^{2}}-2sin(\theta)cos(\theta)\frac{\partial ^{2} z}{\partial x \partial...