Consider the function f(x) = x + 11y - y 3xy (a) Compute the first-order...

 

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Consider the function f(x) = x² + 11y² - y² − 3xy² (a) Compute the first-order partial derivatives of f. (b) Compute the second-order partial derivatives of f. (c) Find all critical points of f. (d) Classify each critical point as a local minimum, local maximum, or saddle point. Consider the function f(x) = x² + 11y² - y² − 3xy² (a) Compute the first-order partial derivatives of f. (b) Compute the second-order partial derivatives of f. (c) Find all critical points of f. (d) Classify each critical point as a local minimum, local maximum, or saddle point.