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Use the derivative f' to determine the local minima and maxima off and the intervals of...
Use the derivative f'(x) = (x - 1)(x + 1)(x + 4) to determine the local...
Use the derivative f'(x) = (x - 1)(x + 1)(x + 4) to determine the local maxima and minima off and the intervals of increase and decrease. Sketch a possible graph off (f is not unique) The local maximum/maxima is/are at x = (Use a comma to separate answers as needed.) The local minimum/minima is/are at x = (Use a comma to separate answers as needed.) The open interval(s) of increase is(are) (Type your answer in interval notation. Use a...
> 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,...
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 all the local maxima, local minima, and saddle points of the function.
Find all the local maxima, local minima, and saddle points of the function. f(x,y) = x² + xy + 2x + 2y + 1 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. A local maximum occurs at _______ (Type an ordered pair. Use a comma to separate answers as needed.) The local maximum value(s) is/are _______ (Type an exact answer. Use a comma to separate answers as needed.) B. There are no local maxima.
13.7.7 Find all the local maxima, local minima, and saddle points of the function. f(x,y) =...
13.7.7 Find all the local maxima, local minima, and saddle points of the function. f(x,y) = 2x² + 3xy + 4y? – 5x + 2y Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. A local maximum occurs at (Type an ordered pair.Use a comma to separate answers as needed.) The local maximum value(s) is/are. (Type an exact answer. Use a comma to separate answers as needed.) B. There are no...
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...
U17 Find the local maxima and local minima of the function shown below. f(x,y)=x² + y2...
U17 Find the local maxima and local minima of the function shown below. f(x,y)=x² + y2 - 2x + 12y - 12 What are the local maxima? Select the correct choice below and, if necessary, fill in the answer box to complete your choi O A. Local maxima are located at (Type an ordered pair. Use a comma to separate answers as needed.) B. There are no local maxima. Select the correct choice below and, if necessary, fill in the...
Answer the following questions about the function whose derivative is f'(x) = 2x(x - 5), a....
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...
Find all the maxima and minima of the given function. f(x,y) = x2 + xy +...
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...
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...
Use the derivative f'(x) = (x - 1)(x + 1)(x + 4) to determine the local maxima and minima off and the intervals of increase and decrease. Sketch a possible graph off (f is not unique) The local maximum/maxima is/are at x = (Use a comma to separate answers as needed.) The local minimum/minima is/are at x = (Use a comma to separate answers as needed.) The open interval(s) of increase is(are) (Type your answer in interval notation. Use a...
> 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,...
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...
13.7.7 Find all the local maxima, local minima, and saddle points of the function. f(x,y) = 2x² + 3xy + 4y? – 5x + 2y Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. A local maximum occurs at (Type an ordered pair.Use a comma to separate answers as needed.) The local maximum value(s) is/are. (Type an exact answer. Use a comma to separate answers as needed.) B. There are no...
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...
U17 Find the local maxima and local minima of the function shown below. f(x,y)=x² + y2 - 2x + 12y - 12 What are the local maxima? Select the correct choice below and, if necessary, fill in the answer box to complete your choi O A. Local maxima are located at (Type an ordered pair. Use a comma to separate answers as needed.) B. There are no local maxima. Select the correct choice below and, if necessary, fill in the...
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...
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...
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...
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