[Solution] Use the Chain Rule to find ∂z/∂s and the ∂z/∂t for z= sin θ cos φ , θ =st^2,φ
Question: Use the Chain Rule to find ∂z/∂s and the ∂z/∂t for \(z=\sin \theta \cos \phi \), \(\theta =s{{t}^{2}},\phi ={{s}^{2}}t\).
Deliverable: Word Document 
![[Step-by-Step] Find the directional derivative of the](/images/solutions/MC-solution-library-57550.jpg "[Step-by-Step] Find the directional derivative of the function at")
[Step-by-Step] Find the directional derivative of the function at
![[Step-by-Step] Find the maximum rate of change](/images/solutions/MC-solution-library-57551.jpg "[Step-by-Step] Find the maximum rate of change of f at the given point")
[Step-by-Step] Find the maximum rate of change of f at the given point
(See Steps) Find the ∂w/∂z for
![[See Solution] Use the Chain Rule to](/images/solutions/MC-solution-library-57553.jpg "[See Solution] Use the Chain Rule to find ∂u/∂x for u=√r^2+s^2,")
[See Solution] Use the Chain Rule to find ∂u/∂x for u=√r^2+s^2,
Solution: Given f(x,y,z)=√x+yz, P(1,3,1), u=((1)/(√3),(1)/(√3),(1)/(√3))
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