Ex: 47–50: Use implicit differentiation to find $\partial z/\partial x$ and $\partial z/\partial y$.

47

\[x^2 + 2y^2 + 3z^2 = 1\]

48 \[x^2 - y^2 + z^2 - 2z = 4\]

49 \[e^z = xyz\]

40 \[yz + x \ln y = z^2\]