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15-16 The graph of the derivative f' of a continuous function f is shown. (a) On...
is: 6. (8 points) / is a function that is continuous on (-0,00). The first derivative...
is: 6. (8 points) / is a function that is continuous on (-0,00). The first derivative of /"(x) = (3x - 1)x+3X5 - x) Use this information to answer the following questions about : a. On what intervals is increasing or decreasing? Internal in which fis increasing or -- 8x-1) (x+3)(5-x) > 0 x=112, -3, -5 b. At what values of x does f have any local maximum or minimum values? - V2 ; Location(s) of Minima: Location(s) of Maxima:...
8,14 please 8. The graph of the first derivative f' of a function f is shown....
8,14 please
8. The graph of the first derivative f' of a function f is shown. (a) On what intervals is f increasing? Explain. (b) At what values of x does f have a local maximum or minimum? Explain. (c) On what intervals is f concave upward or concave down- ward? Explain (d) What are the x-coordinates of the inflection points of f? Why? y = f'(x) 2 6 8 9-18 (a) Find the intervals on which f is increasing...
Suppose that a continuous function f has a derivative f' whose graph is shown below over...
Suppose that a continuous function f has a derivative f' whose graph is shown below over the interval (1, 10). y=f'(x) 1 2 3 4 5 6 8 9 10 (a) Find the interval(s) over which f is increasing. (Enter your answer using interval notation.) Find the interval(s) over which fis decreasing. (Enter your answer using interval notation.) (b) Find the x-value(s) where f has a local maximum. (Enter your answers as a comma-separated list.) x = Find the x-value(s)...
For the following function f find the domain; the asymptotes ;intervals where f is increasing, decreasing, concave upward, concave downward
4. For the following function f find the domain; the asymptotes ;intervals where f is increasing, decreasing, concave upward, concave downward; local maximum, minimum and inflection points; sketch the graph: f(x) = 1/(x-1)3
Suppose that a continuous function f has a derivative f' whose graph is shown below over...
Suppose that a continuous function f has a derivative f' whose graph is shown below over the interval (4, 13). y=f'(x) 1 2 3 4 5 6 7 8 9 10 11 12 13 (a) Find the interval(s) over which f is increasing. (Enter your answer using interval notation.) (4, 6)U(7, 9) U (11, 13) Find the interval(s) over which f is decreasing. (Enter your answer using interval notation.) (6, 7) U (9, 11) (b) Find the x-value(s) where f...
Question 11 10 pts The derivative f'(2) of an unknown function f(x) has been determined as...
Question 11 10 pts The derivative f'(2) of an unknown function f(x) has been determined as f'(x) = (x - 2)(+3)2. Use this derivative to find the intervals where the original function f is increasing/decreasing. Then find the x-values that correspond to any relative maximums or relative minimums of the original unknown function f(x). O no relative maximum; relative minimum at x=2 relative maximum at x=-3; no relative minimum O relative maximum at x=2; relative minimum at x=-3 relative maximum...
3. (16 points) (a) The graph of f(z) is given below. Using the graph, determine each...
3. (16 points) (a) The graph of f(z) is given below. Using the graph, determine each of the following: i) 2-coordinate of local maxima ii) D-coordinate of local minima iii) open interval(s) on which is INCREASING between 1 = A and 2 =D iv) open interval(s) on which f is DECREASING between 2 = A and 1=D v) open interval(s) on which f is CONCAVE UP between 1 = A and z =D vi) open interval(s) on which f is...
17. Given the following function and its first and second derivative: 20-2 6-43 f'(x)= f"(x) =...
17. Given the following function and its first and second derivative: 20-2 6-43 f'(x)= f"(x) = [2 pts] 1) Find the horizontal and vertical asymptotes of f(x), if any. f(x)=x-2x=1 نر [2 pts) ii) Find all critical numbers. Note: NOT a point, just critical numbers only. [5 pts) iii) Find the intervals of increasing and decreasing then finding all local maximum minimum values. [5 pts] Find the intervals of concave upward and concave downward. [2 pts) Find inflection point, if...
Consider the following function. (If an answer does not exist, enter UN 36 f(x) = x...
Consider the following function. (If an answer does not exist, enter UN 36 f(x) = x + х (a) Find the intervals where the function is increasing and where it is decreasing. (Enter your answer using interval notation.) increasing decreasing (b) Find the relative extrema of F. relative maximum (X,Y) - relative minimum (X,Y) - (c) Find the intervals where the graph of fis concave upward and where it is concave downward. (Enter your answer using interval notation.) concave upward...
Given f(x) = x² - 6x² + 9 + 1 a) Find the intervals over which...
Given f(x) = x² - 6x² + 9 + 1 a) Find the intervals over which f(x) is increasing and decreasing. 6 Find any local maximum and minimum c) Find intervals over which the graph off is concave upward, and concave downward. Id Find any inflection points. e) Use the above results to graph FX).
is: 6. (8 points) / is a function that is continuous on (-0,00). The first derivative of /"(x) = (3x - 1)x+3X5 - x) Use this information to answer the following questions about : a. On what intervals is increasing or decreasing? Internal in which fis increasing or -- 8x-1) (x+3)(5-x) > 0 x=112, -3, -5 b. At what values of x does f have any local maximum or minimum values? - V2 ; Location(s) of Minima: Location(s) of Maxima:...
8,14 please
8. The graph of the first derivative f' of a function f is shown. (a) On what intervals is f increasing? Explain. (b) At what values of x does f have a local maximum or minimum? Explain. (c) On what intervals is f concave upward or concave down- ward? Explain (d) What are the x-coordinates of the inflection points of f? Why? y = f'(x) 2 6 8 9-18 (a) Find the intervals on which f is increasing...
Suppose that a continuous function f has a derivative f' whose graph is shown below over the interval (1, 10). y=f'(x) 1 2 3 4 5 6 8 9 10 (a) Find the interval(s) over which f is increasing. (Enter your answer using interval notation.) Find the interval(s) over which fis decreasing. (Enter your answer using interval notation.) (b) Find the x-value(s) where f has a local maximum. (Enter your answers as a comma-separated list.) x = Find the x-value(s)...
Suppose that a continuous function f has a derivative f' whose graph is shown below over the interval (4, 13). y=f'(x) 1 2 3 4 5 6 7 8 9 10 11 12 13 (a) Find the interval(s) over which f is increasing. (Enter your answer using interval notation.) (4, 6)U(7, 9) U (11, 13) Find the interval(s) over which f is decreasing. (Enter your answer using interval notation.) (6, 7) U (9, 11) (b) Find the x-value(s) where f...
Question 11 10 pts The derivative f'(2) of an unknown function f(x) has been determined as f'(x) = (x - 2)(+3)2. Use this derivative to find the intervals where the original function f is increasing/decreasing. Then find the x-values that correspond to any relative maximums or relative minimums of the original unknown function f(x). O no relative maximum; relative minimum at x=2 relative maximum at x=-3; no relative minimum O relative maximum at x=2; relative minimum at x=-3 relative maximum...
3. (16 points) (a) The graph of f(z) is given below. Using the graph, determine each of the following: i) 2-coordinate of local maxima ii) D-coordinate of local minima iii) open interval(s) on which is INCREASING between 1 = A and 2 =D iv) open interval(s) on which f is DECREASING between 2 = A and 1=D v) open interval(s) on which f is CONCAVE UP between 1 = A and z =D vi) open interval(s) on which f is...
17. Given the following function and its first and second derivative: 20-2 6-43 f'(x)= f"(x) = [2 pts] 1) Find the horizontal and vertical asymptotes of f(x), if any. f(x)=x-2x=1 نر [2 pts) ii) Find all critical numbers. Note: NOT a point, just critical numbers only. [5 pts) iii) Find the intervals of increasing and decreasing then finding all local maximum minimum values. [5 pts] Find the intervals of concave upward and concave downward. [2 pts) Find inflection point, if...
Consider the following function. (If an answer does not exist, enter UN 36 f(x) = x + х (a) Find the intervals where the function is increasing and where it is decreasing. (Enter your answer using interval notation.) increasing decreasing (b) Find the relative extrema of F. relative maximum (X,Y) - relative minimum (X,Y) - (c) Find the intervals where the graph of fis concave upward and where it is concave downward. (Enter your answer using interval notation.) concave upward...
Given f(x) = x² - 6x² + 9 + 1 a) Find the intervals over which f(x) is increasing and decreasing. 6 Find any local maximum and minimum c) Find intervals over which the graph off is concave upward, and concave downward. Id Find any inflection points. e) Use the above results to graph FX).
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