Find and classify all critical points of f(x,y,z) = x³ + xz² + 3x² + y² + 2z² - 9x - 2y -10. A) local minimum at (-2, 1, 3), (-2, 1, -3), (-3, 1, 0) and saddle point at (1, 1, 0) B) local minimum at (-2, 1, 3), (-2, 1, -3) and local maximum at (-3, 1, 0), (1, 1, 0) C) local minimum at (1, 1, 0 ) and saddle point at (-2, 1, 3), (-2, 1, -3), (-3, 1, 0) D) local maximum at (-2, 1, 3), (-2, 1, -3), (-3, 1, 0) and saddle point at (1, 1, 0) E) local minimum at (-2, 1, 3) , (-3, 1, 0), local maximum at (1, 1, 0), and saddle point at (-2, 1, -3)

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The Answer of Find and classify all critical points of f(x,y,z) = x³ + xz² + 3x² + y² + 2z² - 9x - 2y -10. A) local minimum at (-2, 1, 3), (-2, 1, -3), (-3, 1, 0) and saddle point at (1, 1, 0) B) local minimum at (-2, 1, 3), (-2, 1, -3) and local maximum at (-3, 1, 0), (1, 1, 0) C) local minimum at (1, 1, 0 ) and saddle point at (-2, 1, 3), (-2, 1, -3), (-3, 1, 0) D) local maximum at (-2, 1, 3), (-2, 1, -3), (-3, 1, 0) and saddle point at (1, 1, 0) E) local minimum at (-2, 1, 3) , (-3, 1, 0), local maximum at (1, 1, 0), and saddle point at (-2, 1, -3)

Find and Classify All Critical Points of F(x,y,z) = X3

Find and Classify All Critical Points of F(x,y,z) = X³