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![Solution {-42, 4] f(x) = x²–3x²+ & f(x) = 3x² - 6x for critical point 3x²_68.20 3x (x-3):0 fixoro X 20, x= 3 fa os Relative m](http://img.homeworklib.com/questions/7e430180-7d76-11eb-90e0-65b4dc267fa9.png?x-oss-process=image/resize,w_560)
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7) Find all extrema points using the first derivative test with the table as shown in...
ative extrema Find the value(s) of any relative extrema Find the x-values of all points where...
ative extrema Find the value(s) of any relative extrema Find the x-values of all points where the function has any re tox)-x-18x2-4 First find the derivative of f(x) Now find any critical numbers of t(x) (Use a comma to separate answers as needed) O B. There are no critical numbers of fx) in any answer boxes within your choice O A. O B. The function has a relative maximum of O C. 0 D. There are no relative extrema es...
Use the First Derivative Test to find the relative extrema of the function, if they exist....
Use the First Derivative Test to find the relative extrema of the function, if they exist. f(x) = x^4 - 2x^2 + 5
+ 1) Find all relative extrema for y = _ 13 x3 + 3x + 4...
+ 1) Find all relative extrema for y = _ 13 x3 + 3x + 4 2) Find all absolute extrema of f(x) = 2x3 - 9x2 + 12x over the closed interval [ -3,3). Given: f(x) = 2x3 – 3x2 – 36x + 17 3) Find all critical values for f(x). 4) Find all relative extrema of f(x). 5) Find all points of inflection of f(x).
1. (12 points) Find all the critical points of f(x) = (x - 1)(x + 5)...
1. (12 points) Find all the critical points of f(x) = (x - 1)(x + 5) Hint: Do not expand! Instead use the product and chain rules then factor 2. (12 points) Find the absolute extrema of f(x) = on (-1,2). Give your answers as (x,y) points. Hint: It is much easier to take the derivative of f(x) by rewriting as f(x) = (1 + x4)-1 and use the chain rule 3. f(x) = ? - 7x + 1 (a)...
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...
Find the critical points of the function and use the First Derivative Test to determine whether...
Find the critical points of the function and use the First Derivative Test to determine whether the critical point is a local minimum or maximum (or neither). (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) FX) 23 local minimum X local maximum X- neither Determine the intervals on which the function is increasing or decreasing, (Enter your answers using interval notation Enter EMPTY or for the empty set.) increasing decreasing Submit Answer
Part 1:. Why the second derivative test works for extrema of functions of two variables We...
Part 1:. Why the second derivative test works for extrema of functions of two variables We follow the Caleulus 1 example of making sure that the first derivative is 0. And you have seen us simply set the first two partials equal to 0: f-0 and y -0. Then we apply information about a version of the second derivative, namelyDy()in concert with the sign of Ju. Why does this work? Step 1 for this part of the explanation First, is...
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)
A) Compare the pros and cons of finding extrema using First-Derivative Test and Second-Derivative...
A) Compare the pros and cons of finding extrema using
First-Derivative Test and Second-Derivative Tests. Also comment on
why when f"(c) > 0, then f(c) is a relative minimum and when
f"(c) < 0, then f(c) is a relative maximum.
B) Please come up with a scenario (other than the examples given
in a textbook) and use it to clearly demonstrate primary and
secondary equations.
Guidelines for Solving Optimization Problems 1. Identify all given quantities and all quantities to be...
ative extrema Find the value(s) of any relative extrema Find the x-values of all points where the function has any re tox)-x-18x2-4 First find the derivative of f(x) Now find any critical numbers of t(x) (Use a comma to separate answers as needed) O B. There are no critical numbers of fx) in any answer boxes within your choice O A. O B. The function has a relative maximum of O C. 0 D. There are no relative extrema es...
+ 1) Find all relative extrema for y = _ 13 x3 + 3x + 4 2) Find all absolute extrema of f(x) = 2x3 - 9x2 + 12x over the closed interval [ -3,3). Given: f(x) = 2x3 – 3x2 – 36x + 17 3) Find all critical values for f(x). 4) Find all relative extrema of f(x). 5) Find all points of inflection of f(x).
1. (12 points) Find all the critical points of f(x) = (x - 1)(x + 5) Hint: Do not expand! Instead use the product and chain rules then factor 2. (12 points) Find the absolute extrema of f(x) = on (-1,2). Give your answers as (x,y) points. Hint: It is much easier to take the derivative of f(x) by rewriting as f(x) = (1 + x4)-1 and use the chain rule 3. f(x) = ? - 7x + 1 (a)...
Find the critical points of the function and use the First Derivative Test to determine whether the critical point is a local minimum or maximum (or neither). (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) FX) 23 local minimum X local maximum X- neither Determine the intervals on which the function is increasing or decreasing, (Enter your answers using interval notation Enter EMPTY or for the empty set.) increasing decreasing Submit Answer
Part 1:. Why the second derivative test works for extrema of functions of two variables We follow the Caleulus 1 example of making sure that the first derivative is 0. And you have seen us simply set the first two partials equal to 0: f-0 and y -0. Then we apply information about a version of the second derivative, namelyDy()in concert with the sign of Ju. Why does this work? Step 1 for this part of the explanation First, is...
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)
A) Compare the pros and cons of finding extrema using
First-Derivative Test and Second-Derivative Tests. Also comment on
why when f"(c) > 0, then f(c) is a relative minimum and when
f"(c) < 0, then f(c) is a relative maximum.
B) Please come up with a scenario (other than the examples given
in a textbook) and use it to clearly demonstrate primary and
secondary equations.
Guidelines for Solving Optimization Problems 1. Identify all given quantities and all quantities to be...
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