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4) Graphing polynomials Sketch a graph of f(x) = x* + 4x3. (10 pts)...
2. (4+6+2+4+2+6=24 points Consider the function f(x) = -1 (a) Find any vertical and horizontal asymptotes...
2. (4+6+2+4+2+6=24 points Consider the function f(x) = -1 (a) Find any vertical and horizontal asymptotes off. (b) On what intervals is f increasing? decreasing? (c) Find all local maximum and minimum values of (d) On what intervals is f concave up? concave down? (e) Find all inflection points of f. (f) Using the information from (a) to (e), sketch a graph of J. Clearly label any asymptotes, local extrema, and inflection points.
5. Given the function f(x)=x4 - 4x3 a) find f'(x) and the critical numbers of f....
5. Given the function f(x)=x4 - 4x3 a) find f'(x) and the critical numbers of f. b) determine the interval(s) on which the graph off is increasing c) find f"(x) and the x-coordinates of the possible inflection points d) determine the interval(s) on which the graph off is concave down.
6. Consider the function f(x) = x3 - 10x (a) (3 pts) Find f '(x) (b)...
6. Consider the function f(x) = x3 - 10x (a) (3 pts) Find f '(x) (b) (9 pts.) Find the intervals where f(x) is increasing/decreasing, and classify any local max/min. (c) (3 pts) Find f '(x) (d) (9 pts.) Find the intervals where f(x) is concave up/down and classify any inflection points. Using the information from parts a-d only, sketch the graph of y=f(x).
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...
19. f(x)=4x3- 15x2 18x+ 20 3 (a) Find f'(x) Simplify and factor completely. )12x- 3ox-18 Find...
19. f(x)=4x3- 15x2 18x+ 20 3 (a) Find f'(x) Simplify and factor completely. )12x- 3ox-18 Find f(x) (b) Simplify and factor completely. ( 1.F Intevas are 242-30 (c) Find the intervals where the function is increasing and where it is decreasing. Use interval notation. : 24y-30 O 12 -30x-18O ,3 (-0,). 3). 39 -15 12 3 C 3, 00) 24 -) f is INC on: f is DEC on: Chrek Find the relative extrema of this function if they exist....
Stedent D Name 9.20 pts) ldentify the following information and sketch the graph of fix)-x+4x (a)a...
Stedent D Name 9.20 pts) ldentify the following information and sketch the graph of fix)-x+4x (a)a f. Domis enain x-intercept -itercept asymptotes (Use the space below to show your work for part (a) If more space is required use the back of the page and indicate that you have done so) (b) Analyze f(x). fx) Partition number(s) for f(x): Critical value(s) of f(x) Construct a sign chart for f'(x), detemine the intervals on which f is increasing and decreasing, and...
9. Determine where f(x) is increasing/decreasing. Locate the local extrema; determine where it is concave up/down,...
9. Determine where f(x) is increasing/decreasing. Locate the local extrema; determine where it is concave up/down, locate inflection pts. Use this information to sketch the graph. (20 pts) 4x2 + 12x – f'(x) = Critical Values are: F"(x) = Possible Inflection points are: First derivative information Interval Sample point f' = + or - Show inc/dec 2nd derivative information Interval Sample point f" x f" = + or - Concavity:
Q-5: [5x1 marks] Let f(x) = 10 + (x – 2)4 a) Find f'(x) and f'(x)....
Q-5: [5x1 marks] Let f(x) = 10 + (x – 2)4 a) Find f'(x) and f'(x). b) Find the intervals on which f is increasing or decreasing. c) Find the local maximum and minimum of f, if any. d) Find the intervals on which the graph of f is concave up or concave down. e) Find the points of inflection, if any.
2. (10 points) For function f(x) = 4x3 – x4, find: (a) the critical points; (b)...
2. (10 points) For function f(x) = 4x3 – x4, find: (a) the critical points; (b) the open intervals on which the function is increasing or decreasing; (c) locate all relative extrema.
please i need the answers asapp 2. (10 points) For function f(x) = 4x3 – x4,...
please i need the answers asapp
2. (10 points) For function f(x) = 4x3 – x4, find: (a) the critical points; (b) the open intervals on which the function is increasing or decreasing; (c) locate all relative extrema.
2. (4+6+2+4+2+6=24 points Consider the function f(x) = -1 (a) Find any vertical and horizontal asymptotes off. (b) On what intervals is f increasing? decreasing? (c) Find all local maximum and minimum values of (d) On what intervals is f concave up? concave down? (e) Find all inflection points of f. (f) Using the information from (a) to (e), sketch a graph of J. Clearly label any asymptotes, local extrema, and inflection points.
5. Given the function f(x)=x4 - 4x3 a) find f'(x) and the critical numbers of f. b) determine the interval(s) on which the graph off is increasing c) find f"(x) and the x-coordinates of the possible inflection points d) determine the interval(s) on which the graph off is concave down.
6. Consider the function f(x) = x3 - 10x (a) (3 pts) Find f '(x) (b) (9 pts.) Find the intervals where f(x) is increasing/decreasing, and classify any local max/min. (c) (3 pts) Find f '(x) (d) (9 pts.) Find the intervals where f(x) is concave up/down and classify any inflection points. Using the information from parts a-d only, sketch the graph of y=f(x).
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...
19. f(x)=4x3- 15x2 18x+ 20 3 (a) Find f'(x) Simplify and factor completely. )12x- 3ox-18 Find f(x) (b) Simplify and factor completely. ( 1.F Intevas are 242-30 (c) Find the intervals where the function is increasing and where it is decreasing. Use interval notation. : 24y-30 O 12 -30x-18O ,3 (-0,). 3). 39 -15 12 3 C 3, 00) 24 -) f is INC on: f is DEC on: Chrek Find the relative extrema of this function if they exist....
Stedent D Name 9.20 pts) ldentify the following information and sketch the graph of fix)-x+4x (a)a f. Domis enain x-intercept -itercept asymptotes (Use the space below to show your work for part (a) If more space is required use the back of the page and indicate that you have done so) (b) Analyze f(x). fx) Partition number(s) for f(x): Critical value(s) of f(x) Construct a sign chart for f'(x), detemine the intervals on which f is increasing and decreasing, and...
9. Determine where f(x) is increasing/decreasing. Locate the local extrema; determine where it is concave up/down, locate inflection pts. Use this information to sketch the graph. (20 pts) 4x2 + 12x – f'(x) = Critical Values are: F"(x) = Possible Inflection points are: First derivative information Interval Sample point f' = + or - Show inc/dec 2nd derivative information Interval Sample point f" x f" = + or - Concavity:
Q-5: [5x1 marks] Let f(x) = 10 + (x – 2)4 a) Find f'(x) and f'(x). b) Find the intervals on which f is increasing or decreasing. c) Find the local maximum and minimum of f, if any. d) Find the intervals on which the graph of f is concave up or concave down. e) Find the points of inflection, if any.
2. (10 points) For function f(x) = 4x3 – x4, find: (a) the critical points; (b) the open intervals on which the function is increasing or decreasing; (c) locate all relative extrema.
please i need the answers asapp
2. (10 points) For function f(x) = 4x3 – x4, find: (a) the critical points; (b) the open intervals on which the function is increasing or decreasing; (c) locate all relative extrema.
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