(Step-by-Step) Changing the subject: The function z=y^x has a unique critical point on the half-plane y>0. Where is it located? Also: Determine, and draw in
Question: Changing the subject: The function \(z=y^{x}\) has a unique critical point on the half-plane \(y>0\). Where is it located?
Also: Determine, and draw in the xy -plane, the level set \(z=1\) for the function \(z=y^{x}(y>0)\). (level set \(z=1\) is the set of all points \((x y)\) in the domain for which \(y^{x}=1\) )
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