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2. Consider the function f(x, y) = x2 + In(y3) * (e8x) - 6xy with b E R, b#0. Determine the critical points (if any)

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2. Consider the function f(x, y) = x2 + In(y3) * (e8x) - 6xy with b E R, b#0. Determine the critical points (if any) of the function f in the domain R. [8 Marks] 3. Classify the critical points (if any) obtained in the previous question: Maxima, Minima (local and global), saddle point. [8 Marks]

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