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> Derivatives and the shape of a graph 4- For the following exercises, determine a. intervals...
show detailed work in each problem For the following exercises, find the local and/or absolute maxima...
show detailed work in each problem
For the following exercises, find the local and/or absolute maxima for the functions over the specified domain. 128. y = 4 sin - 3 cose over [0, 21) For the following exercises, show there is no c such that f(1)-f(-1) = f'(c)(2). Explain why the Mean Value Theorem does not apply over the interval [-1, 1). 168. f For the following exercises, determine a. intervals where f is increasing or decreasing, b. local minima...
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.)...
12. (20 points) Sketch the graph of the function f(x) which satisfies the following conditions. Using...
12. (20 points) Sketch the graph of the function f(x) which satisfies the following conditions. Using interval notation list all intervals where the function fis decreasing, increasing, concave up, and concave down. List the x-coordinates of all local maxima and minima, and points of inflection Show asymptotes with dashed lines and give their equations. Label all important points on the graph. a. f(x) is defined for all real numbers 2x b. f(x) = -1 2 c. f'(x) - d. f(2)...
4. Accurately apply each of the following to hx)-12x3-36x1+3 (5 points each): a) Intervals where h(x) is increasing/decreasing b) The first derivative test for local maxima and minima c) Interval...
4. Accurately apply each of the following to hx)-12x3-36x1+3 (5 points each): a) Intervals where h(x) is increasing/decreasing b) The first derivative test for local maxima and minima c) Intervals where h(x) is concave up/concave down d) The second derivative test for local maxima and minima
4. Accurately apply each of the following to hx)-12x3-36x1+3 (5 points each): a) Intervals where h(x) is increasing/decreasing b) The first derivative test for local maxima and minima c) Intervals where h(x) is concave...
(20 points) Sketch the graph of the function f(x) which satisfies the following conditions. Using interval...
(20 points) Sketch the graph of the function f(x) which satisfies the following conditions. Using interval notation list all intervals where the function fis decreasing, increasing, concave up, and concave down List the x-coordinates of all local maxima and minima, and points of inflection. Show asymptotes with dashed lines and give their equations. Label all important points on the graph. 1 a f(x) is defined for all real numbers b. f'(x) = c. f"(x) = (x-1) d. f(2)= 2 e...
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...
(A) Find all critical values off. If there are no critical values, enter None. If there...
(A) Find all critical values off. If there are no critical values, enter None. If there are more than one enter them separated by commas. Critical value(s) = (B) Use interval notation to indicate where f(a) is increasing. If it is increasing on more than one interval, enter the union of all intervals where f(a) is increasing Increasing: (C) Use interval notation to indicate where f(a) is decreasing. If it is decreasing on more than one interval, enter the union...
12. (20 points) Sketch the graph of the function f(x) which satisfies the following conditions. Using...
12. (20 points) Sketch the graph of the function f(x) which satisfies the following conditions. Using interval notation list all intervals where the function f is decreasing, increasing, concave up, and concave down. List the x-coordinates of all local maxima and minima, and points of inflection Show asymptotes with dashed lines and give their equations. Label all important points on the graph. -1 2 a. f(x) is defined for all real numbers 2x b. f'(x) = c. f"(x) = (x-1)...
12. (20 points) Sketch the graph of the function f(x) which satisfies the following conditions. Using...
12. (20 points) Sketch the graph of the function f(x) which satisfies the following conditions. Using interval notation list all intervals where the function f is decreasing, increasing, concave up, and concave down. List the x-coordinates of all local maxima and minima, and points of inflection. Show asymptotes with dashed lines and give their equations. Label all important points on the graph. 2x X-1 2. a. f(x) is defined for all real numbers b. f'(x) = c. f"(x) = (x-1)2...
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,
show detailed work in each problem
For the following exercises, find the local and/or absolute maxima for the functions over the specified domain. 128. y = 4 sin - 3 cose over [0, 21) For the following exercises, show there is no c such that f(1)-f(-1) = f'(c)(2). Explain why the Mean Value Theorem does not apply over the interval [-1, 1). 168. f For the following exercises, determine a. intervals where f is increasing or decreasing, b. local minima...
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.)...
12. (20 points) Sketch the graph of the function f(x) which satisfies the following conditions. Using interval notation list all intervals where the function fis decreasing, increasing, concave up, and concave down. List the x-coordinates of all local maxima and minima, and points of inflection Show asymptotes with dashed lines and give their equations. Label all important points on the graph. a. f(x) is defined for all real numbers 2x b. f(x) = -1 2 c. f'(x) - d. f(2)...
4. Accurately apply each of the following to hx)-12x3-36x1+3 (5 points each): a) Intervals where h(x) is increasing/decreasing b) The first derivative test for local maxima and minima c) Intervals where h(x) is concave up/concave down d) The second derivative test for local maxima and minima
4. Accurately apply each of the following to hx)-12x3-36x1+3 (5 points each): a) Intervals where h(x) is increasing/decreasing b) The first derivative test for local maxima and minima c) Intervals where h(x) is concave...
(20 points) Sketch the graph of the function f(x) which satisfies the following conditions. Using interval notation list all intervals where the function fis decreasing, increasing, concave up, and concave down List the x-coordinates of all local maxima and minima, and points of inflection. Show asymptotes with dashed lines and give their equations. Label all important points on the graph. 1 a f(x) is defined for all real numbers b. f'(x) = c. f"(x) = (x-1) d. f(2)= 2 e...
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...
(A) Find all critical values off. If there are no critical values, enter None. If there are more than one enter them separated by commas. Critical value(s) = (B) Use interval notation to indicate where f(a) is increasing. If it is increasing on more than one interval, enter the union of all intervals where f(a) is increasing Increasing: (C) Use interval notation to indicate where f(a) is decreasing. If it is decreasing on more than one interval, enter the union...
12. (20 points) Sketch the graph of the function f(x) which satisfies the following conditions. Using interval notation list all intervals where the function f is decreasing, increasing, concave up, and concave down. List the x-coordinates of all local maxima and minima, and points of inflection Show asymptotes with dashed lines and give their equations. Label all important points on the graph. -1 2 a. f(x) is defined for all real numbers 2x b. f'(x) = c. f"(x) = (x-1)...
12. (20 points) Sketch the graph of the function f(x) which satisfies the following conditions. Using interval notation list all intervals where the function f is decreasing, increasing, concave up, and concave down. List the x-coordinates of all local maxima and minima, and points of inflection. Show asymptotes with dashed lines and give their equations. Label all important points on the graph. 2x X-1 2. a. f(x) is defined for all real numbers b. f'(x) = c. f"(x) = (x-1)2...
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,
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