(1 point) Find the critical numbers of the function f(x) = 2x3 + 6x2 - 48.....
Find any global max or global min ) For the function f(x) = 2x3 - 6x2 +6 ;(-1<x<3)
Consider the following function. f(x) = 2x3 + 3.r? – 120. (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) (b) Find the open intervals on which the function is increasing or decreasing. (Select all that apply.) Increasing: (-9,-5) (-5, 4) (4,0) (-00,00) Decreasing: (-, -5) (-5, 4) (4,-) (-09, ) (C) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.) relative maximum (x, y) =...
(1 point) Consider the function f(x) = x2/5(x – 9). This function has two critical numbers A< B Then A = and B For each of the following intervals, tell whether f(x) is increasing or decreasing. (-0, A]: ? [A, B]: ? [B, 0) ? The critical number A is ? and the critical number B is ? There are two numbers C < D where either F"(x) = 0 or f'(x) is undefined. Then C= and D= Finally for...
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...
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
Help Entering Answers 9cy (1 point) Find all the critical points of f(x,y) = 2x3 +y* Σ (0,0),(3(2)(2/3))/2, (3(2)^(1/3))/2) List separate answers with a comma. Help Entering Answers 9cy (1 point) Find all the critical points of f(x,y) = 2x3 +y* Σ (0,0),(3(2)(2/3))/2, (3(2)^(1/3))/2) List separate answers with a comma.
48 The function f is defined by f(x) = for 3 <x< 7. The function g is defined by g(x) = 2x - 4 for .X-1 a<x<b, where a and b are constants. (i) Find the greatest value of a and the least value of b which will permit the formation of the composite function gf. [2] It is now given that the conditions for the formation of gf are satisfied. (ii) Find an expression for gf(x). [1] (iii) Find...
For the function below, find a) the critical numbers; b) the open intervals where the function is increasing; and c) the open intervals where it is decreasing. f(x)= ) = 2x2 + 3x - 12x + 2 Question Viewer For the function below, find a) the critical numbers; b) the open intervals where the function is increasing; and c) the open intervals where it is decreasing. f(x) = Vx? +7 Determine the location of each local extremum of the function....
Find the critical numbers of the function anddescribe the behavior of f at these numbers. (List youranswers in increasing order.) f(x) =x10(x -1)9 At the function has ( local min orlocal max or neither ) At the function has ( local min orlocal max or neither ) At the function has ( local min orlocal max or neither )
ILA " (20 points) Find the extreme points of the function f(x,y) = 6x2-2x3 + 3уг +. 6xy. Then ermine whether these extreme points are maximum, minimum or saddle points.