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8. of the derivative gf's of a The figure is the graph | Sunction f on...
Determine the intervals on which f is increasing or decreasing, assuming the figure below is the...
Determine the intervals on which f is increasing or decreasing, assuming the figure below is the graph of the derivative of f. On Interval 1: is ? < On Interval 2: f is? On Interval 3: fis ? 241 24.1 1 & -2411 If the figure below is the graph of the derivative f', answer the following: Where do the points of inflection of f occur? On which interval(s) is f concave down? 4,
The graph of y = f'(x), the derivative of a function f. 600,00) is given below:...
The graph of y = f'(x), the derivative of a function f. 600,00) is given below: y= f'() Which of the following must be true? of is decreasing on (2, 4) and concave down on (-3,3). of is increasing on (-2, 2) and concave down on (0,4). f is increasing on (-3,0) and concave down on (0,4). fis decreasing on (0,4) and concave down on (-2,2).
Let f(x) = 3r" +44.23 + 204r? + 288. - 3. Calculate the derivative f'(x) =...
Let f(x) = 3r" +44.23 + 204r? + 288. - 3. Calculate the derivative f'(x) = Calculate the second derivative f''(x) Note intervals are entered in the format (-00,5)U(7,00) (these are two infinite intervals). Enter "DNE" if the interval is empty. On what interval(s) is f increasing? Increasing: On what interval(s) is f decreasing? Decreasing: On what interval(s) is f concave downward? Concave Down: On what interval(s) is f concave upward? Concave Up: What is the limit as x approaches...
Find the critical points and the intervals on which the function f(t)=2-3«/, (x > 0) is...
Find the critical points and the intervals on which the function f(t)=2-3«/, (x > 0) is increasing or decreasing. Use the First Derivative Test to determine whether the critical point is a local minimum or maximum (or neither). Find the 2-coordinates of the critical points that correspond to a local minimum. (Use symbolic notation and fractions where needed. Give your answer in the form of a comma separated list. Enter DNE if there are no critical points.) Find the -coordinates...
7. After sketching the graphs of function f(x) and its derivative f(x) on the interval [0, 10],I ...
7. After sketching the graphs of function f(x) and its derivative f(x) on the interval [0, 10],I spilled my tea on the graph of f(x). The coffee dissolved the ink as shown. Please redraw the graph for me using the graph of f(x). (Hint: Graph f"(x) to determine the concavity of the original graph.) Be sure to indicate important features like relative max and min, points of inflection, increasing and decreasing intervals, and intervals where the graph is concave up...
> Derivatives and the shape of a graph 4- For the following exercises, determine a. intervals...
> Derivatives and the shape of a graph 4- For the following exercises, determine a. intervals where fis increasing or decreasing, b. local minima and maxima off, c. intervals where fis concave up and concave down, and d. the inflection points off 226. f(x)= x4 - 6x3 228. f(x)= x + x2-r3 5- For the following exercises, determine a. intervals where fis increasing or decreasing, b. local minima and maxima off, c. intervals where fis concave up and concave down,...
1) 2) Let f(x) = 23 + 9x² – 812 +21. (a) Use derivative rules to...
1)
2)
Let f(x) = 23 + 9x² – 812 +21. (a) Use derivative rules to find f'(x) = 3x2 +18% -81 (b) Use derivative or the derivative rules to find f''(x) = 60 + 18 (c) On what interval is f increasing (include the endpoints in the interval)? interval of increasing = (-0,-9] U [3,00) (d) On what interval is f decreasing (include the endpoints in the interval)? interval of decreasing = [-9,3] (e) On what interval is f...
Use the derivative f' to determine the local minima and maxima off and the intervals of...
Use the derivative f' to determine the local minima and maxima off and the intervals of increase and decrease. Sketch a possible graph off (f is not unique). f'(x) = 14 sin 2x on [-27,21] The local minimum/minima is/are at x = (Use a comma to separate answers as needed. Type an exact answer, using as needed.) The local maximum/maxima is/are at x = (Use a comma to separate answers as needed. Type an exact answer using t as needed.)...
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:...
need help with these.please. I-8 Let f(2) Find the open intervals on which fis increasing (decreasing)....
need help with these.please.
I-8 Let f(2) Find the open intervals on which fis increasing (decreasing). Then determine the x-coordinates of +8 all relative maxima (minima). 1. f is increasing on the intervals 2. fis decreasing on the intervals 3. The relative maxima of f occur at - 4. The relative minima off occur at 2 - Notes: In the first two your answer should either be a single interval, such as (0,1), a comma separated list of intervals, such...
Determine the intervals on which f is increasing or decreasing, assuming the figure below is the graph of the derivative of f. On Interval 1: is ? < On Interval 2: f is? On Interval 3: fis ? 241 24.1 1 & -2411 If the figure below is the graph of the derivative f', answer the following: Where do the points of inflection of f occur? On which interval(s) is f concave down? 4,
The graph of y = f'(x), the derivative of a function f. 600,00) is given below: y= f'() Which of the following must be true? of is decreasing on (2, 4) and concave down on (-3,3). of is increasing on (-2, 2) and concave down on (0,4). f is increasing on (-3,0) and concave down on (0,4). fis decreasing on (0,4) and concave down on (-2,2).
Let f(x) = 3r" +44.23 + 204r? + 288. - 3. Calculate the derivative f'(x) = Calculate the second derivative f''(x) Note intervals are entered in the format (-00,5)U(7,00) (these are two infinite intervals). Enter "DNE" if the interval is empty. On what interval(s) is f increasing? Increasing: On what interval(s) is f decreasing? Decreasing: On what interval(s) is f concave downward? Concave Down: On what interval(s) is f concave upward? Concave Up: What is the limit as x approaches...
Find the critical points and the intervals on which the function f(t)=2-3«/, (x > 0) is increasing or decreasing. Use the First Derivative Test to determine whether the critical point is a local minimum or maximum (or neither). Find the 2-coordinates of the critical points that correspond to a local minimum. (Use symbolic notation and fractions where needed. Give your answer in the form of a comma separated list. Enter DNE if there are no critical points.) Find the -coordinates...
7. After sketching the graphs of function f(x) and its derivative f(x) on the interval [0, 10],I spilled my tea on the graph of f(x). The coffee dissolved the ink as shown. Please redraw the graph for me using the graph of f(x). (Hint: Graph f"(x) to determine the concavity of the original graph.) Be sure to indicate important features like relative max and min, points of inflection, increasing and decreasing intervals, and intervals where the graph is concave up...
> Derivatives and the shape of a graph 4- For the following exercises, determine a. intervals where fis increasing or decreasing, b. local minima and maxima off, c. intervals where fis concave up and concave down, and d. the inflection points off 226. f(x)= x4 - 6x3 228. f(x)= x + x2-r3 5- For the following exercises, determine a. intervals where fis increasing or decreasing, b. local minima and maxima off, c. intervals where fis concave up and concave down,...
1)
2)
Let f(x) = 23 + 9x² – 812 +21. (a) Use derivative rules to find f'(x) = 3x2 +18% -81 (b) Use derivative or the derivative rules to find f''(x) = 60 + 18 (c) On what interval is f increasing (include the endpoints in the interval)? interval of increasing = (-0,-9] U [3,00) (d) On what interval is f decreasing (include the endpoints in the interval)? interval of decreasing = [-9,3] (e) On what interval is f...
Use the derivative f' to determine the local minima and maxima off and the intervals of increase and decrease. Sketch a possible graph off (f is not unique). f'(x) = 14 sin 2x on [-27,21] The local minimum/minima is/are at x = (Use a comma to separate answers as needed. Type an exact answer, using as needed.) The local maximum/maxima is/are at x = (Use a comma to separate answers as needed. Type an exact answer using t as needed.)...
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:...
need help with these.please.
I-8 Let f(2) Find the open intervals on which fis increasing (decreasing). Then determine the x-coordinates of +8 all relative maxima (minima). 1. f is increasing on the intervals 2. fis decreasing on the intervals 3. The relative maxima of f occur at - 4. The relative minima off occur at 2 - Notes: In the first two your answer should either be a single interval, such as (0,1), a comma separated list of intervals, such...
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