[Solution] Compute (dw)/(dt) using the Chain rule: w=√x^2+y^2 x= cos t,
Question: Compute \(\frac{dw}{dt}\) using the Chain rule:
\[w=\sqrt{{{x}^{2}}+{{y}^{2}}}\] \[x=\cos t,\,\,y={{e}^{t}}\]
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