f(x, y) = In(1+7x2 + 5y2 )
Find the critical point of the function. Then use the second derivative test to classify the nature of this point, if possible. (If an answer does not exist, enter DNE.)
f(x, y) = In(1+7x2 + 5y2 )
(x, y) = _______
Finally, determine the relative extrema of the function. (If an answer does not exist, enter DNE.)
relative minimum value _______
relative maximum value _______
Homework Answers
Find the critical point of the function. Then use the second derivative test to classify the...
Find the critical point of the function. Then use the second derivative test to classify the nature of this point, if possible. (If an answer does not exist, enter DNE.) f(x, y) = x2 − 4xy + 2y2 + 4x + 8y + 8 critical point (x, y)= classification ---Select--- :relative maximum, relative minimum ,saddle point, inconclusive ,no critical points Finally, determine the relative extrema of the function. (If an answer does not exist, enter DNE.) relative minimum value= relative...
1. [-/1 Points) DETAILS TANAPCALC10 8.3.003. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the critical...
1. [-/1 Points) DETAILS TANAPCALC10 8.3.003. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the critical point of the function. Then use the second derivative test to classify the nature of this point, if possible. (if an answer does not exist, enter DNE) FIX,Y)=x2-12 - 8x + y + 5 critical point dastication -Select- Finally, determine the relative extrema of the function (if an answer does not exist, enter DNE) relative minimum value relative maximum value Need Help? Red Submit...
5. [-13 Points) DETAILS TANAPCALC10 8.R.029. Consider the following. Ax,y) - 2x2 + y2 - 12x...
5. [-13 Points) DETAILS TANAPCALC10 8.R.029. Consider the following. Ax,y) - 2x2 + y2 - 12x - 4y + 4 Find the critical points of the function. (If an answer does not exist, enter DNE.) (x, y) = Use the second derivative test to classify the nature of each of these points, if possible. O relative maximum relative minimum saddle point inconclusive no critical point Finally, determine the relative extrema of the function. (If an answer does not exist, enter...
Find all relative extrema of the function.
Find all relative extrema of the function. Use the Second-Derivative Test when applicable. (If an answer does not exist, enter DNE.) f(x) = x2 + 3x – 9relative maximum (x, y) = _______ relative minimum (x, y) = _______ Find all relative extrema of the function. Use the Second-Derivative Test when applicable. (If an answer does not exist, enter DNE.) f(x) = x4 + 16x3 - 7 relative maximum (x, y) = _______ relative minimum (x, y) = _______
Consider the following function. f(x) = cos(x) - sin(x), (0, 2) (a) Find the critical numbers...
Consider the following function. f(x) = cos(x) - sin(x), (0, 2) (a) Find the critical numbers of f, if any. (Enter your answers as a comma-separated list.) (b) Find the open intervals on which the function is increasing or decreasing (Enter your answers using interval notation. If an answer does not exist, enter DNE.) increasing х decreasing X (c) Apply the First Derivative Test to identify all relative extrema. (If an answer does not exist, enter DNE.) relative minimum (X,Y)...
Find all relative extrema of the function. Use the Second-Derivative Test when applicable. (If an answer...
Find all relative extrema of the function. Use the Second-Derivative Test when applicable. (If an answer does not exist, enter DNE.) f(x) = x+ 4 relative maximum (x, y) = relative minimum (x, y)
Find all relative extrema of the function. Use the Second-Derivative Test when applicable. (If an answer...
Find all relative extrema of the function. Use the Second-Derivative Test when applicable. (If an answer does not exist, enter DNE.) f(x) = x4 - 4x3 + 1 relative maximum (x,y) - relative minimum (x, y)
please solve all parts. For the function f(x,y)=x3+y3 – 6y2-3x+5, do the following: (a) Determine its...
please solve all parts.
For the function f(x,y)=x3+y3 – 6y2-3x+5, do the following: (a) Determine its critical point(s) if exists. Express your answer as coordinate pairs with parentheses and commas. Separate your answers with commas and list in ascending order of x if the function has more than one critical point. Use **DNE" if the function has no critical point. Answer: (b) Use the D-Test to classify at each critical point whether the function has a relative maximum or minimum,...
Consider the following function. f(x) = 5x + 81 - 2 (a) Find the critical numbers...
Consider the following function. f(x) = 5x + 81 - 2 (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) (b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) increasing decreasing (c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.) relative maximum (x,y) = relative minimum (X,Y)...
-15 points LARCALC11 3.3.019. Consider the following function. f(x) = x2 - 10x (a) Find the...
-15 points LARCALC11 3.3.019. Consider the following function. f(x) = x2 - 10x (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) (b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation. If an answer does not exist, enter increasing decreasing (c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.) relative maximum (x, y) = relative...
1. [-/1 Points) DETAILS TANAPCALC10 8.3.003. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the critical point of the function. Then use the second derivative test to classify the nature of this point, if possible. (if an answer does not exist, enter DNE) FIX,Y)=x2-12 - 8x + y + 5 critical point dastication -Select- Finally, determine the relative extrema of the function (if an answer does not exist, enter DNE) relative minimum value relative maximum value Need Help? Red Submit...
5. [-13 Points) DETAILS TANAPCALC10 8.R.029. Consider the following. Ax,y) - 2x2 + y2 - 12x - 4y + 4 Find the critical points of the function. (If an answer does not exist, enter DNE.) (x, y) = Use the second derivative test to classify the nature of each of these points, if possible. O relative maximum relative minimum saddle point inconclusive no critical point Finally, determine the relative extrema of the function. (If an answer does not exist, enter...
Consider the following function. f(x) = cos(x) - sin(x), (0, 2) (a) Find the critical numbers of f, if any. (Enter your answers as a comma-separated list.) (b) Find the open intervals on which the function is increasing or decreasing (Enter your answers using interval notation. If an answer does not exist, enter DNE.) increasing х decreasing X (c) Apply the First Derivative Test to identify all relative extrema. (If an answer does not exist, enter DNE.) relative minimum (X,Y)...
Find all relative extrema of the function. Use the Second-Derivative Test when applicable. (If an answer does not exist, enter DNE.) f(x) = x+ 4 relative maximum (x, y) = relative minimum (x, y)
Find all relative extrema of the function. Use the Second-Derivative Test when applicable. (If an answer does not exist, enter DNE.) f(x) = x4 - 4x3 + 1 relative maximum (x,y) - relative minimum (x, y)
please solve all parts.
For the function f(x,y)=x3+y3 – 6y2-3x+5, do the following: (a) Determine its critical point(s) if exists. Express your answer as coordinate pairs with parentheses and commas. Separate your answers with commas and list in ascending order of x if the function has more than one critical point. Use **DNE" if the function has no critical point. Answer: (b) Use the D-Test to classify at each critical point whether the function has a relative maximum or minimum,...
Consider the following function. f(x) = 5x + 81 - 2 (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) (b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) increasing decreasing (c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.) relative maximum (x,y) = relative minimum (X,Y)...
-15 points LARCALC11 3.3.019. Consider the following function. f(x) = x2 - 10x (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) (b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation. If an answer does not exist, enter increasing decreasing (c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.) relative maximum (x, y) = relative...
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