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w e 1. For the following function, make a table showing the signs of the first...
e npera ture In A Re xc G Which of the numbers T C Make A...
e npera ture In A Re xc G Which of the numbers T C Make A Sign Diagram http://www.webassign.net/web/Student/Assignment-Responses/last?dep-21297420 O BemApCalcB/32 029 M Consider the following function. x) = (a) Make a sign diagram for the first derivative. Select- Select- -Select- Select-w Select- X (b) Make a sign diagram for the second derivative. -Select- -Select- -Select- -Select- -Select- -Select- -Solect- X= X (c) Sketch the graph, showing all relative extreme points and inflection points. 2 IP A graphing calculator is...
Consider the following function. f(x) = x4 – 16x3 + 72x2 + 6 (a) Make a...
Consider the following function. f(x) = x4 – 16x3 + 72x2 + 6 (a) Make a sign diagram for the first derivative. ---Select--- A (---Select--- ---Select--- --Select--- A ---Select--- X = X = (b) Make a sign diagram for the second derivative. ---Select--- ---Select--- A ---Select--- --Select--- 4 ---Select--- A X = X = (c) Sketch the graph, showing all relative extreme points and inflection points. y y 400H 4001 IP V 2005 IP 200 X X -6 -4 -2...
2. for the function f(x)= x+2 cos x on the interval [0,2pi] a. find the first...
2. for the function f(x)= x+2 cos x on the interval
[0,2pi] a. find the first derivative
b.) find the second derivative
c.) find the functions critical values(if any). include their y-
coordinates in your answers in order to form critical points.
d. )find the intervals on which f is increasing or
decreasing.
e. )find the local extrema of f.
f. )find the functions hyper critical values(if any). include their
y coordinates
g.) find the intervals of concavity, i.e. the...
a-i pls thank you 13. A function is given below along with both its first and...
a-i pls thank you
13. A function is given below along with both its first and second derivatives. f(x) 2x+4 2x+3 (x+1) 4x+10 Find the following for this function: (a) the domain (b)x and y-intercepts (c) vertical anf horizontal asymptotes (d) critical numbers (e) intervals of increase and/or intervals of decrease (1) local extreme values (2) inflection points (h) intervals of concave up and concave down (1) graph the function and carefully label the y-intercept, local extrema, and point(s) of...
A function and its first and second derivatives are given. Use these to find each of...
A function and its first and second derivatives are given. Use these to find each of the following. (If an answer does not exist, enter DNE.) f(x) = 12x2/3 x + 1 4(2-x) f'(x) = x1/3(x + 1)2 f"(x) = 8(2x2 - 8x - 1) 3x4/3(x + 1)3 Find any horizontal and vertical asymptotes. (Enter your answers as a comma-separated list of equations.) horizontal asymptotes vertical asymptotes Find any critical points. (x, y) = (0.0 (smaller x-value) (x, y) =...
For the function f(x) = x^6 − 15x^4 c) Will the graph have any standard symmetry?...
For the function f(x) = x^6 − 15x^4 c) Will the graph have any standard symmetry? If so, which? f) Determine the end-behavior (in both directions.) g) Find the function's critical value(s), (if any.) Include their y-coordinates. (Exact values are expected, not decimals.) h) Classify the critical points you just found by using the first derivative test. i) Find the function's hyper-critical point(s), (if any.) Include their y-coordinates. (Exact values are expected, not decimals.) j) Determine whether the points you...
Given the function: f(x)=(x^2-4x+6)/(x-1)^2 a) Find the asymptotes of f, if any b) Find the first...
Given the function: f(x)=(x^2-4x+6)/(x-1)^2 a) Find the asymptotes of f, if any b) Find the first and the second derivatives of f c) Find the intervals of increase and decrease of f d) Find the relative maxima and the relative minima, if any e) Find the intervals where f is concave up and down, respectively, together with the points of inflection, if any.
3. Find the equation of the tangent line to the graph of f(x)-1+e 0 4 Graph the following functio...
Could you label and explain how to get each term?
Thank you!
3. Find the equation of the tangent line to the graph of f(x)-1+e 0 4 Graph the following function, using information such as intervals of increase and decrease, relative extrema, intervals of upward and downward concavity, and inflection points: g(x) 3x4 +4.x Pro):-I -2 16 3 a7 al 16 min(-1,-1) y " 30+24K: 12x(3x+2) t ip. (oo) 2 3
3. Find the equation of the tangent line to...
(x + 1)2 Consider the function f(x) -. The first and second derivatives of f(x) are...
(x + 1)2 Consider the function f(x) -. The first and second derivatives of f(x) are 1 + x2 2(1 – x2) 4x(x2 - 3) f'(x) = and f" (2) Using this information, (1 + x2) (1 + x2)3 (a) Find all relative extrema. (4 points) Minimum: Maximum: (b) Find the intervals of concavity for f(x) and identify any inflection points for yourself. (5 points) Concave up: Concave down: (c) Using the fact that lim f(x) = 1, and our...
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,...
e npera ture In A Re xc G Which of the numbers T C Make A Sign Diagram http://www.webassign.net/web/Student/Assignment-Responses/last?dep-21297420 O BemApCalcB/32 029 M Consider the following function. x) = (a) Make a sign diagram for the first derivative. Select- Select- -Select- Select-w Select- X (b) Make a sign diagram for the second derivative. -Select- -Select- -Select- -Select- -Select- -Select- -Solect- X= X (c) Sketch the graph, showing all relative extreme points and inflection points. 2 IP A graphing calculator is...
Consider the following function. f(x) = x4 – 16x3 + 72x2 + 6 (a) Make a sign diagram for the first derivative. ---Select--- A (---Select--- ---Select--- --Select--- A ---Select--- X = X = (b) Make a sign diagram for the second derivative. ---Select--- ---Select--- A ---Select--- --Select--- 4 ---Select--- A X = X = (c) Sketch the graph, showing all relative extreme points and inflection points. y y 400H 4001 IP V 2005 IP 200 X X -6 -4 -2...
2. for the function f(x)= x+2 cos x on the interval
[0,2pi] a. find the first derivative
b.) find the second derivative
c.) find the functions critical values(if any). include their y-
coordinates in your answers in order to form critical points.
d. )find the intervals on which f is increasing or
decreasing.
e. )find the local extrema of f.
f. )find the functions hyper critical values(if any). include their
y coordinates
g.) find the intervals of concavity, i.e. the...
a-i pls thank you
13. A function is given below along with both its first and second derivatives. f(x) 2x+4 2x+3 (x+1) 4x+10 Find the following for this function: (a) the domain (b)x and y-intercepts (c) vertical anf horizontal asymptotes (d) critical numbers (e) intervals of increase and/or intervals of decrease (1) local extreme values (2) inflection points (h) intervals of concave up and concave down (1) graph the function and carefully label the y-intercept, local extrema, and point(s) of...
A function and its first and second derivatives are given. Use these to find each of the following. (If an answer does not exist, enter DNE.) f(x) = 12x2/3 x + 1 4(2-x) f'(x) = x1/3(x + 1)2 f"(x) = 8(2x2 - 8x - 1) 3x4/3(x + 1)3 Find any horizontal and vertical asymptotes. (Enter your answers as a comma-separated list of equations.) horizontal asymptotes vertical asymptotes Find any critical points. (x, y) = (0.0 (smaller x-value) (x, y) =...
Could you label and explain how to get each term?
Thank you!
3. Find the equation of the tangent line to the graph of f(x)-1+e 0 4 Graph the following function, using information such as intervals of increase and decrease, relative extrema, intervals of upward and downward concavity, and inflection points: g(x) 3x4 +4.x Pro):-I -2 16 3 a7 al 16 min(-1,-1) y " 30+24K: 12x(3x+2) t ip. (oo) 2 3
3. Find the equation of the tangent line to...
(x + 1)2 Consider the function f(x) -. The first and second derivatives of f(x) are 1 + x2 2(1 – x2) 4x(x2 - 3) f'(x) = and f" (2) Using this information, (1 + x2) (1 + x2)3 (a) Find all relative extrema. (4 points) Minimum: Maximum: (b) Find the intervals of concavity for f(x) and identify any inflection points for yourself. (5 points) Concave up: Concave down: (c) Using the fact that lim f(x) = 1, and our...
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,...
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