x²-7 Find all critical numbers of the function y=7-4,#4. Then use the second-derivative test on each...
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...
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 the critical points of the following function. Use the Second Derivative Test to determine if possible) whether each critical point corresponds to a local maximum, local minimum or saddle point. Contem your results with a graphing utility f(x,y) = x + xy-2) + 4y - 12 What are the critical points? (Type an ordered pair Use a comma to separate answers as needed.) Use the Second Derivative Test to find the local maxima. Select the correct choice below and,...
Find the absolute maximum and minimum values of the function over the indicated interval, and indicate the x-values at which they f(x)=x4-8x2+2 [-3,3] The absolute maximum value is | | at x = (Use a comma to separate answers as needed) where points of inflection occur. Do not sketch the graph box to On which A. The function is concave down on (Type your answer in in to separate answers as needed) O B. The function is never concave down...
For the function below, find a) the critical numbers; b) the open intervals where the function is increasing; and c) the open intervals where it is decreasing. f(x)= ) = 2x2 + 3x - 12x + 2 Question Viewer For the function below, find a) the critical numbers; b) the open intervals where the function is increasing; and c) the open intervals where it is decreasing. f(x) = Vx? +7 Determine the location of each local extremum of the function....
Determine the location of each local extremum of the function. f(x) = -x2 – 3x2 -2 What is/are the local minimum/minima? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The local minimum/minima is/are atx= (Use a comma to separate answers as needed. Type integers or simplified fractions.) OB. The function has no local minimum. What is/are the local maximum/maxima? Select the correct choice below and, if necessary, fill in the...
12.1.19 Determine the location of each local extremum of the function. f(x) = -x - 3x + 9x - 5 What is/are the local minimum/minima? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. at x O A. The local minimum/minima is/are (Use a comma to separate answers as needed. Type integers or simplified fractions.) B. The function has no local minimum. 12.1.27 Find the location of the local extrema of the...
Find all the maxima and minima of the given function. f(x,y) = x2 + xy + y2 + 3x - 3y + 1 Find the maxima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. There is/are maxima located at (Simplify your answers. Type ordered pairs. Use a comma to separate answers as needed.) B. There are no maxima. Find the values of the maxima. Select the correct choice below...
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...
Answer the following questions about the function whose derivative is f'(x) = 2x(x - 5), a. What are the critical points of f? b. On what open intervals is fincreasing or decreasing? c. At what points, if any, does fassume local maximum and minimum values? a. Find the critical points, if any. Select the correct choice below and, if necessary, fill in the answer box to complete your choice O A. The critical point(s) of fis/are x = (Simplify your...