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use the level curves to predict the location of the critical points of f and determine whether f has a saddle point, local maximum, or local minimum at each point. then use the second derivatives test to confirm your predictions. (if an answer does not exist, enter dne.)



Answer :

(0,0) is a saddle point and (1,1) is a local minimum.

  • The point as in domain of something like the functions with the lowest value is known as the local minimum. You can calculate the local minimum by determining the function's derivative.
  • A saddle point of minimax point is a location on the graph's surface where the slopes of all orthogonal derivatives are zero (a crucial point), but which isn't the function's local extremum.

From the contour map, the level curves intersect at (0,0) . Hence (0,0) is a saddle point.

and the center of level curve 3.2 (1,1) is a local minimum.

Hence (0,0) is a saddle point and (1,1) is a local minimum.

Learn more about saddle point here:

https://brainly.com/question/28853367

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