
1. (2 points) Find the critical numbers for f(c) = 4x3 - 1522 - 72x +...
5. Given the function f(x)=x4 - 4x3 a) find f'(x) and the critical numbers of f. b) determine the interval(s) on which the graph off is increasing c) find f"(x) and the x-coordinates of the possible inflection points d) determine the interval(s) on which the graph off is concave down.
2. (10 points) For function f(x) = 4x3 – x4, find: (a) the critical points; (b) the open intervals on which the function is increasing or decreasing; (c) locate all relative extrema.
Find the critical points of the following function. f(x) = 4x3 - 29 2 x² + 158 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The critical point(s) occur(s) at x = (Use a comma to separate answers as needed.) OB. There are no critical points.
Find (A) f'(x), (B) the partition numbers for f', and (C) the critical numbers of f. f(x) = x3 - 75x-5 (A) f'(x) = (B) Find the partition numbers for f'. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The partition number(s) is/are x = (Use a comma to separate answers as needed.) O B. There are no partition numbers. (C) Find the critical numbers for f. Select the...
(5 points) Let f(x) = 5x2e-3x (a) Find all critical numbers of f. (b) Find the x-coordinates of the inflection points on the graph of f. (c) Fill out the chart below and roughly sketch the graph of y = xée 2* Interval Test value x Sign of f'(x) Sign of F"(x) Concavity Rough Graph
(10 points) Find the critical numbers of the function f(x) = (x - 3) 323/2 (15 points) Find the absolute maximum and absolute minimum values of f(x) = interval (0,3) 2-1+1 on the
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2. (10 points) For function f(x) = 4x3 – x4, find: (a) the critical points; (b) the open intervals on which the function is increasing or decreasing; (c) locate all relative extrema.
Find (A) f'(x). (B) the partition numbers for f', and (C) the critical numbers off. f(x)=x - 75x +8 (A) F(x)=0 (B) Find the partition numbers for f'. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The partition number(s) is/are x= (Use a comma to separate answers as needed.) OB. There are no partition numbers. (C) Find the critical numbers for f. Select the correct choice below and, if...
3. The derivative of a function f(x) is given. Find the critical numbers of f(2) and classify each critical point as a relative maximum, a relative minimum, or neither. f (x) = x(2-x) 22+x+1
For Problem 1, find the exact values of the critical points of f. 1. f(x) = x3 + 3x2 – 24.c + 5