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Suppose that f(x) is a continuous function over all real numbers, f'(- 10) = 0, and...
Consider the following function. f(x) = cos(x) - sin(x), (0, 2) (a) Find the critical numbers...
Consider the following function. f(x) = cos(x) - sin(x), (0, 2) (a) Find the critical numbers of f, if any. (Enter your answers as a comma-separated list.) (b) Find the open intervals on which the function is increasing or decreasing (Enter your answers using interval notation. If an answer does not exist, enter DNE.) increasing х decreasing X (c) Apply the First Derivative Test to identify all relative extrema. (If an answer does not exist, enter DNE.) relative minimum (X,Y)...
Consider the following function. f(x) = 5x + 81 - 2 (a) Find the critical numbers...
Consider the following function. f(x) = 5x + 81 - 2 (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. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) increasing decreasing (c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.) relative maximum (x,y) = relative minimum (X,Y)...
Consider the following function. f(x) = 2x3 + 3.r? – 120. (a) Find the critical numbers...
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) =...
-15 points LARCALC11 3.3.019. Consider the following function. f(x) = x2 - 10x (a) Find the...
-15 points LARCALC11 3.3.019. Consider the following function. f(x) = x2 - 10x (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. (Enter your answers using interval notation. If an answer does not exist, enter increasing decreasing (c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.) relative maximum (x, y) = relative...
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)...
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...
Really need help on those two!! Show steps!! ( + 7)* Let f be defined by f(x) For the following, no decimal entries all...
Really need help on those two!! Show steps!!
( + 7)* Let f be defined by f(x) For the following, no decimal entries allowed. For parts (d) and (e), remember that you can enter your answer as an expression and let wamap be the calculator (a) List the critical valuc(s) of f. If there is more than onc, list them separated by commas. Preview (b) Find wheref is decreasing. Answer in interval notation Preview (c) Find where f is increasing....
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:...
Consider the following function (a) Find the critical numbers of any (Enter your answers as a...
Consider the following function (a) Find the critical numbers of any (Enter your answers as a comm o rated it) () Find the open intervals on which the function is increasing or decreasing (Enter your answers i nterval notation at an answer does not existente ONE) Increasing decreasing n ter ONE.) (0) Acolytheist Derivative Test to identify all relative extrema (tananswer does not e relative minimum Y)-(D relative maximum .Y)-(
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...
Consider the following function. f(x) = cos(x) - sin(x), (0, 2) (a) Find the critical numbers of f, if any. (Enter your answers as a comma-separated list.) (b) Find the open intervals on which the function is increasing or decreasing (Enter your answers using interval notation. If an answer does not exist, enter DNE.) increasing х decreasing X (c) Apply the First Derivative Test to identify all relative extrema. (If an answer does not exist, enter DNE.) relative minimum (X,Y)...
Consider the following function. f(x) = 5x + 81 - 2 (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. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) increasing decreasing (c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.) relative maximum (x,y) = relative minimum (X,Y)...
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) =...
-15 points LARCALC11 3.3.019. Consider the following function. f(x) = x2 - 10x (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. (Enter your answers using interval notation. If an answer does not exist, enter increasing decreasing (c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.) relative maximum (x, y) = relative...
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)...
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...
Really need help on those two!! Show steps!!
( + 7)* Let f be defined by f(x) For the following, no decimal entries allowed. For parts (d) and (e), remember that you can enter your answer as an expression and let wamap be the calculator (a) List the critical valuc(s) of f. If there is more than onc, list them separated by commas. Preview (b) Find wheref is decreasing. Answer in interval notation Preview (c) Find where f is increasing....
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:...
Consider the following function (a) Find the critical numbers of any (Enter your answers as a comm o rated it) () Find the open intervals on which the function is increasing or decreasing (Enter your answers i nterval notation at an answer does not existente ONE) Increasing decreasing n ter ONE.) (0) Acolytheist Derivative Test to identify all relative extrema (tananswer does not e relative minimum Y)-(D relative maximum .Y)-(
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...
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