Question 6. (20 pts) Find the critical points of f(r,y) = x4 + 2y2 - 4xy....
Question 6. (20 pts) Find the critical points of f(x, y) = x4 + 2y2 – 4xy. Then use the Second Derivative Test to determine whether each critical point is a local min, max, or saddle point.
Question 6. (20 pts) Find the critical points of S(,y) = x4 + 2y2 – 4cy. Then use the Second Derivative Test to determine whether each critical point is a local min, max, or saddle point.
Find the critical points of the following functions. Use the Second Derivative Test to determine (if possible) whether each critical point corresponds to a local maximum, local minimum, or saddle point. f(x, y) = x2 + 4xy + y21
Find the critical points of the following functions. Use the Second Derivative Test to determine (if possible) whether each critical point corresponds to a local maximum, local minimum, or saddle point. H. f(x, y) = x2 + 2y2 – xły
Let f(x,y) = 4 + x² + y² – 3xy f has critical points at 10,0) and (1,1) use the second derivative test to classify these points as local min, local max, or saddle point
15. Find the critical points of the function f(x, y) = y3 - 6y? - 2x3 - 6x2 +48x+20. Then, use the Second Derivative Test to determine whether they are local minima, local maxima, or saddle points. Find local maximum and local minimum values. (10 Pts) 16. Use Lagrange multinliers to find the maximum
9. (10 pts.) The following function has three critical points (0,0), (1,1), (-1,-1). Use the second derivative test to determine if each point is a local maximum, local minimum, or saddle point. S(1,y) = 1 + y - 4xy +1.
calc 3/multivariable calculus problem
22. Find the critical points of the function and use the Second Derivative Test to determine whether each critical point corresponds to a relative maximum, a relative minimum or a saddle point. f(x,y) = x3 + 2xy – 2y2 – 10x
Find the critical points of the following functions. Use the Second Derivative Test to determine (if possible) whether each critical point corresponds to a local maximum, local minimum, or saddle point. .f(x, y) = x²y2
1. (25 points) Let f (x, y) = x4 - 4xy + y2 (6 points) Find fr.fy a. b. (9 points) Find fxx fry, fry c. (6 points) Find all critical points.
1. (25 points) Let f (x, y) = x4 - 4xy + y2 (6 points) Find fr.fy a. b. (9 points) Find fxx fry, fry c. (6 points) Find all critical points.