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Answer the following questions about the function whose derivative is f'(x) = 2x(x - 5), a....
Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and...
Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema. f(x)=x -3x+6 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The function is increasing on (Type your answer in interval notation. Type integers or simplified fractions. Use a comma to separate answers as needed.) OB. The function is never increasing. Select the correct choice below and, if necessary, fill in...
please help Perform a first derivative test on the function f(x) = x 100 - x2:1-10,10)....
please help
Perform a first derivative test on the function f(x) = x 100 - x2:1-10,10). a. Locate the critical points of the given function. b. Use the first derivative test to locate the local maximum and minimum values. c. Identify the absolute minimum and maximum values of the function on the given interval (when they exist). a. Locate the critical points of the given function. Select the correct choice below and, if necessary, fill in the answer box within...
Locate the critical points of the following function. Then use the Second Derivative Test to determine...
Locate the critical points of the following function. Then use the Second Derivative Test to determine whether they correspond to local maxima, local minima, or neither. = 9-22 What isare) the critical point(s) of ? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The critical point(s) is(are) x = (Use a comma to separate answers as needed. Type an integer or a simplified fraction) B. There are no critical...
Find all critical numbers of the function f(x) = (x - 9). Then use the second-derivative...
Find all critical numbers of the function f(x) = (x - 9). Then use the second-derivative test on each critical number to determine whether it leads to a local maximum or minimum Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The critical number(s) is/are at x = There is no local maximum and no local minimum. (Type an integer or a simplified fraction. Use a comma to separate answers...
For the following function, a) give the coordinates of any critical points and classify each point...
For the following function, a) give the coordinates of any critical points and classify each point as a relative maximum, a relative minimum, or neither, b) identity intervals where the function is increasing or decreasing: c) give the coordinates of any points of infection, d) identity intervals where the function is concave up or concave down, and e) sketch the graph. 9x) x²64 a) What are the coordinates of the relative extrema? Select the correct choice below and, if necessary,...
a. Find the open interval(s) on which the function is increasing and decreasing b. Identify the function's local and absolute extreme values, if any, saying where they occur Determine the open in...
a. Find the open interval(s) on which the function is increasing and decreasing b. Identify the function's local and absolute extreme values, if any, saying where they occur Determine the open interval(s) of x for which g(x) increases. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. o A. The function is increasing on the open interval(s) Type your answer in interval notation. Use a comma to separate answers as needed.)...
Find any relative extrema of the function. List each extremum along with the x-value at which...
Find any relative extrema of the function. List each extremum along with the x-value at which it occurs. Identify intervals over which the function is increasing and over which it is decreasing. Then sketch a graph of the function. f(x) = -13-7x-x? Describe any relative extrema. Select the correct choice below and, if necessary, fill in the answer box(es) to within your choice. O A. The relative minimum point(s) is/are and there are no relative maximum points. (Simplify your answer....
Find the intervals on which f(x) is increasing and the intervals on which f(x) is decreasing....
Find the intervals on which f(x) is increasing and the intervals on which f(x) is decreasing. Then sketch the graph. Add horizontal tangent lines. f(x)=4x4 -32x2 Compute the derivative of f(x). f'(x)= Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The function is increasing on (Type your answer using interval notation. Use a comma to separate answers as needed.) OB. The function is never increasing Select the correct choice...
please help Perform a first derivative test on the function f(x)=xw/36 - x2:1-6,6). a. Locate the...
please help
Perform a first derivative test on the function f(x)=xw/36 - x2:1-6,6). a. Locate the critical points of the given function b. Use the first derivative test to locate the local maximuri and minimum values. c. Identify the absolute minimum and maximum values of the function on the given interval (when they exist): a. Locate the critical points of the given function. Select the correct choice below and, if necessary, fill in the answer box within your choice. O...
Find all the local maxima, local minima, and saddle points of the function. f(x,y) = x2...
Find all the local maxima, local minima, and saddle points of the function. f(x,y) = x2 - 4xy + y2 + 6y +1 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. A local maximum occurs at (Type an ordered pair. Use a comma to separate answers as needed.) The loal maximum value(s) is/are (Type an exact answer. Use comma to separate answers as needed.) OB. There are no local...
Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema. f(x)=x -3x+6 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The function is increasing on (Type your answer in interval notation. Type integers or simplified fractions. Use a comma to separate answers as needed.) OB. The function is never increasing. Select the correct choice below and, if necessary, fill in...
please help
Perform a first derivative test on the function f(x) = x 100 - x2:1-10,10). a. Locate the critical points of the given function. b. Use the first derivative test to locate the local maximum and minimum values. c. Identify the absolute minimum and maximum values of the function on the given interval (when they exist). a. Locate the critical points of the given function. Select the correct choice below and, if necessary, fill in the answer box within...
Locate the critical points of the following function. Then use the Second Derivative Test to determine whether they correspond to local maxima, local minima, or neither. = 9-22 What isare) the critical point(s) of ? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The critical point(s) is(are) x = (Use a comma to separate answers as needed. Type an integer or a simplified fraction) B. There are no critical...
Find all critical numbers of the function f(x) = (x - 9). Then use the second-derivative test on each critical number to determine whether it leads to a local maximum or minimum Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The critical number(s) is/are at x = There is no local maximum and no local minimum. (Type an integer or a simplified fraction. Use a comma to separate answers...
For the following function, a) give the coordinates of any critical points and classify each point as a relative maximum, a relative minimum, or neither, b) identity intervals where the function is increasing or decreasing: c) give the coordinates of any points of infection, d) identity intervals where the function is concave up or concave down, and e) sketch the graph. 9x) x²64 a) What are the coordinates of the relative extrema? Select the correct choice below and, if necessary,...
a. Find the open interval(s) on which the function is increasing and decreasing b. Identify the function's local and absolute extreme values, if any, saying where they occur Determine the open interval(s) of x for which g(x) increases. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. o A. The function is increasing on the open interval(s) Type your answer in interval notation. Use a comma to separate answers as needed.)...
Find any relative extrema of the function. List each extremum along with the x-value at which it occurs. Identify intervals over which the function is increasing and over which it is decreasing. Then sketch a graph of the function. f(x) = -13-7x-x? Describe any relative extrema. Select the correct choice below and, if necessary, fill in the answer box(es) to within your choice. O A. The relative minimum point(s) is/are and there are no relative maximum points. (Simplify your answer....
Find the intervals on which f(x) is increasing and the intervals on which f(x) is decreasing. Then sketch the graph. Add horizontal tangent lines. f(x)=4x4 -32x2 Compute the derivative of f(x). f'(x)= Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The function is increasing on (Type your answer using interval notation. Use a comma to separate answers as needed.) OB. The function is never increasing Select the correct choice...
please help
Perform a first derivative test on the function f(x)=xw/36 - x2:1-6,6). a. Locate the critical points of the given function b. Use the first derivative test to locate the local maximuri and minimum values. c. Identify the absolute minimum and maximum values of the function on the given interval (when they exist): a. Locate the critical points of the given function. Select the correct choice below and, if necessary, fill in the answer box within your choice. O...
Find all the local maxima, local minima, and saddle points of the function. f(x,y) = x2 - 4xy + y2 + 6y +1 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. A local maximum occurs at (Type an ordered pair. Use a comma to separate answers as needed.) The loal maximum value(s) is/are (Type an exact answer. Use comma to separate answers as needed.) OB. There are no local...
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