[See Steps] Find ∂ w / ∂ s and ∂ w / \partial t using the appropriate chain rule, and evaluate each partial derivative at the given values
Question: Find \(\partial w / \partial s\) and \(\partial w / \partial t\) using the appropriate chain rule, and evaluate each partial derivative at the given values of s and t .
Function
\[\begin{aligned} &w=y^{3}-3 x^{2} y \\ &x=e^{s}, \quad y=e^{t} \end{aligned}\]
Point
\[s=0, \quad t=1\]
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