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- How are the absolute maximum and minimum similar to and different from the local extrema?Determine if the statemment is true or false. If the statement is false, then correct it and make it true. If the function f increases on the interval -,x1 and decreases on the interval x1,, then fx1 is a local minimum value.Use the second derivative test to identify any critical points and determine whether each critical point is a maximum, minimum, saddle point, or none of these. f(x, y) = 3x2 + 2xy + y2 + 4x − 8 (x, y, z) =
- Find the critical points for the function: f(x,y)=x3+y3-9x2-48y-3 and use the Second Derivative Test to classify each as a local maximum, local minimum, saddle point, or none of these.Use the second derivative test to identify any critical points and determine whether each critical point is a maximum, minimum, saddle point, or none of these. f(x, y) = y2 + xy + 3y + 2x + 9Find the critical points of ?= 2?^3 +3?^2 ―12? and apply the Second Derivative Test to find the maximum and minimum.
- Find the critical points of f(x, y) = x^3-y^3+xyand classify each point as a relativemaximum, a relative minimum, or a saddle point.Use the second derivative test to identify any critical points and determine whether each critical point is a maximum, minimum, saddle point, or none of these. f(x, y) = x2 − 2x + y2 + 6y − 6 (x, y, z) =Determine the critical point of the function and use the critical studied to classify it(s) as a maximum, minimum or saddle point. f(x,y)=-5x²+4xy-y²+16x+10
- Find all critical point(s) of f and use the Second Derivative Test to determine whetherf has saddle point or a relative maximum or minimum at each of those points.Use the second derivative test to identify any critical point and determine what each critical point is. f(x,y)=x^3+y^3-300x-75y-3Use the Second Derivatives Test to find the local maximum and minimum values and saddle points of f(x,y)=x-y+x^2+xy^2