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Find and Classify the Critical Points of the Function F(x

Question 5

Multiple Choice

Find and classify the critical points of the function f(x, y) = 2y3 - 3x2 - 3xy + 9x.


A) local minimum at (2, -1) , saddle point at Find and classify the critical points of the function f(x, y)  = 2y<sup>3</sup> - 3x<sup>2</sup> - 3xy + 9x. A)  local minimum at (2, -1) , saddle point at   B)  local maximum at (2, -1) , saddle point at   C)  saddle point at (2, -1) , local maximum at   D)  saddle point at (2, -1) , local minimum at   E)  saddle point at (2, -1)  and
B) local maximum at (2, -1) , saddle point at Find and classify the critical points of the function f(x, y)  = 2y<sup>3</sup> - 3x<sup>2</sup> - 3xy + 9x. A)  local minimum at (2, -1) , saddle point at   B)  local maximum at (2, -1) , saddle point at   C)  saddle point at (2, -1) , local maximum at   D)  saddle point at (2, -1) , local minimum at   E)  saddle point at (2, -1)  and
C) saddle point at (2, -1) , local maximum at Find and classify the critical points of the function f(x, y)  = 2y<sup>3</sup> - 3x<sup>2</sup> - 3xy + 9x. A)  local minimum at (2, -1) , saddle point at   B)  local maximum at (2, -1) , saddle point at   C)  saddle point at (2, -1) , local maximum at   D)  saddle point at (2, -1) , local minimum at   E)  saddle point at (2, -1)  and
D) saddle point at (2, -1) , local minimum at Find and classify the critical points of the function f(x, y)  = 2y<sup>3</sup> - 3x<sup>2</sup> - 3xy + 9x. A)  local minimum at (2, -1) , saddle point at   B)  local maximum at (2, -1) , saddle point at   C)  saddle point at (2, -1) , local maximum at   D)  saddle point at (2, -1) , local minimum at   E)  saddle point at (2, -1)  and
E) saddle point at (2, -1) and Find and classify the critical points of the function f(x, y)  = 2y<sup>3</sup> - 3x<sup>2</sup> - 3xy + 9x. A)  local minimum at (2, -1) , saddle point at   B)  local maximum at (2, -1) , saddle point at   C)  saddle point at (2, -1) , local maximum at   D)  saddle point at (2, -1) , local minimum at   E)  saddle point at (2, -1)  and

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