Find the critical points of the following function. Use the Second Derivative Test to determine (if possible) whether each critical point corresponds to a local maximum, local minimum, or saddle point. If the Second Derivative Test is inconclusive, determine the behavior of the function at the critical points. f(x.y) = x* + y* + 4x - 4y +8 What are the critical points? (Type an ordered pair. Use a comma to separate answers as needed.)

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A: To find critical point of a function, 1) just find y' 2) y'=0 3) solve for x.

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A: Topic- range and domain of function

Q: Locate the critical points of the following function. Then use the Second Derivative Test to…

A: We have f(x) = -2x3 - 6x2 + 9.  Critical points are points where a function is defined, and its…