Use the chain rule to find the first partial derivatives of w with respect to s and t of w = xy + yz + zx, x = st, y = e^{st}, z = t^2 when s = 0 and t = 1.
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Step 1: Find the partial derivative of w with respect to s using the chain rule: \[ \frac{\partial w}{\partial s} = \frac{\partial w}{\partial x} \frac{\partial x}{\partial s} + \frac{\partial w}{\partial y} \frac{\partial y}{\partial s} + \frac{\partial Show more…
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PARTIAL DERIVATIVES
The Chain Rule
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