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Question 6 (1 point) Suppose a function f(x) is differentiable everywhere and has a local minimum...
Question 7 14 Let f be a twice differentiable function, and let f(6) = 7, f'(6)=0, and f" (6) = 0. Which statement must be true about the graph of f? (6,7) is a local minimum point (6,7) is a local maximum point (6,7) is a global maximum point There's not enough information to tell. (6,7) is a point of inflection (6,7) is a global minimum point Question 5 14.3 pts Let f be a twice differentiable function. y С...
(1 point) Consider the function f(x) = xe-5x, 0<x< 2. This function has an absolute minimum value equal to: which is attained at x = and an absolute maximum value equal to: 1/(5e) which is attained at x =
Find the absolute maximum and minimum of the function f(x) = 20% – 15x2 – 1 for -1 << < 10. The absolute maximum is and occurs at x = Preview Preview The absolute minimum is and occurs at x = Preview Preview
Suppose that f(x, y, 2) = 4x + 4y + 4z at which 0 < 2,4,2 < 5. 1. Absolute minimum of f(x, y, 2) is 2. absolute maximum of f(x, y, z) is Submit Question
Consider the function f(0) = 2x3 + 6x² – 144x +1 with -6<< < 5 This function has an absolute minimum at the point and an absolute maximum at the point Note: both parts of this answer should be entered as an ordered pair, including the parentheses, such as (5, 11). į < x < 5. Consider the function f(1) = 1 – 2 In(x), The absolute maximum value is and this occurs at x equals The absolute minimum value...
Determine if the following piecewise defined function is differentiable at x = 0. x20 f(x) = 4x-2, x2 + 4x-2, x<0 What is the right-hand derivative of the given function? f(0+h)-f(0) lim (Type an integer or a simplified fraction. I h h+0+
(1 point) Find the maximum and minimum values of the function f(x, y) = 3x² – 18xy + 3y2 + 6 on the disk x2 + y2 < 16. Maximum = Minimum =
Consider the function f(x) = 2 - 6r”, -551<1. The absolute maximum value is and this occurs at I = The absolute minimum value is and this occurs at 2 =
Determine the absolute maximum and minimum values of the function f(x,y) = xy-exp(-xy) in the region {0<x<2} x {0 <y<b} where 1 <b< . Does the function possess a maximum value in the unbounded region {0 < x <2} x {y >0}?
5. Find the absolute maximum and absolute minimum values of the function f(x) = x.elfm) on the interval --2 < < 2. J 17 J 3.1.