(Solved): 2. What is the total differential of the function: \[ f(x, y, z)=e^{3 x}+\frac{x^{2}(\ln 2 z)}{y}+ ...

2. What is the total differential of the function: \[ f(x, y, z)=e^{3 x}+\frac{x^{2}(\ln 2 z)}{y}+\left(\frac{z}{3}+y\right)^{2} \] How does the value of this function change between \( \mathrm{P}_{0}=(1,1,1) \) and \( \mathrm{P}_{1}=(0.9,1.3,2.1) \). Round your calculations to 1 decimal point? 3. Find the critical points of the following function and characterize whether each is a local maximum or local minimum. \[ f(x)=\frac{x^{3}}{3}-\frac{3 x^{2}}{2}+2 x \]