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The second derivative of f(x) is given below: F"(x) = 22 – 2 – 30 Find...
1-Find the local maximum value of f using both the First and Second Derivative Tests. f(x)...
1-Find the local maximum value of f using both the First and Second Derivative Tests. f(x) = x + √4 - x 2-Consider the equation below. (If you need to use -∞ or ∞, enter -INFINITY or INFINITY.) f(x) = 2x3 + 3x2 − 72x (a) Find the intervals on which f is increasing. (Enter the interval that contains smaller numbers first.) ( , ) ∪ ( , ) Find the interval on which f is decreasing. ( , ) (b) Find the local minimum and...
1) 2) Let f(x) = 23 + 9x² – 812 +21. (a) Use derivative rules to...
1)
2)
Let f(x) = 23 + 9x² – 812 +21. (a) Use derivative rules to find f'(x) = 3x2 +18% -81 (b) Use derivative or the derivative rules to find f''(x) = 60 + 18 (c) On what interval is f increasing (include the endpoints in the interval)? interval of increasing = (-0,-9] U [3,00) (d) On what interval is f decreasing (include the endpoints in the interval)? interval of decreasing = [-9,3] (e) On what interval is f...
Suppose f(x) is an invertible differentiable function and f(4) 5, f(5) 3, f'(4) 3, f' (3)-4 Find ...
Need some explanation on these please and thank you so
much!
Suppose f(x) is an invertible differentiable function and f(4) 5, f(5) 3, f'(4) 3, f' (3)-4 Find (l) (5). b) -3 d) 3 e) 9-7 4 g none of the above The graph of f"(a) (the second derivative of f) is shown below. Where is fCx) concave up? -4-3-223 4 6 a) (-0o,-6) u (5,7) -3, 6) D(-6,5) U (7,00) g)none of these.
Suppose f(x) is an invertible differentiable...
Find the largest open interval on which the graph of the function f (x) = x4...
Find the largest open interval on which the graph of the function f (x) = x4 +6x3 x is concave down Use interval notation, with no spaces in between numbers and brackets. For example: (3,8) Answer: Which of the following statements are true about the function below on the interval [a,b]? AA The derivative is 0 at two values of x both being local maxima. The derivative is 0 at two values of x, one on the interval [a,b] while...
Let f(x)=3x-7/x+2. Find the open intervals on which f is concave up (down). Then determine the x-coordinates of all infl...
Let f(x)=3x-7/x+2. Find the open intervals on which f is concave
up (down). Then determine the x-coordinates of all inflection
points of f.
Let Find the open intervals on which is concave up down Then determine the X-coordinates of all inflection points of x = f is concave up on the intervals 1. 2. f is concave down on the intervals 3· The inflection points occur at Notes: In the first two, your answer should either be a single interval,...
Really need help on those two!! Show steps!! ( + 7)* Let f be defined by f(x) For the following, no decimal entries all...
Really need help on those two!! Show steps!!
( + 7)* Let f be defined by f(x) For the following, no decimal entries allowed. For parts (d) and (e), remember that you can enter your answer as an expression and let wamap be the calculator (a) List the critical valuc(s) of f. If there is more than onc, list them separated by commas. Preview (b) Find wheref is decreasing. Answer in interval notation Preview (c) Find where f is increasing....
17. Given the following function and its first and second derivative: 20-2 6-43 f'(x)= f"(x) =...
17. Given the following function and its first and second derivative: 20-2 6-43 f'(x)= f"(x) = [2 pts] 1) Find the horizontal and vertical asymptotes of f(x), if any. f(x)=x-2x=1 نر [2 pts) ii) Find all critical numbers. Note: NOT a point, just critical numbers only. [5 pts) iii) Find the intervals of increasing and decreasing then finding all local maximum minimum values. [5 pts] Find the intervals of concave upward and concave downward. [2 pts) Find inflection point, if...
Suppose that a continuous function f has a derivative f' whose graph is shown below over...
Suppose that a continuous function f has a derivative f' whose graph is shown below over the interval (4, 13). y=f'(x) 1 2 3 4 5 6 7 8 9 10 11 12 13 (a) Find the interval(s) over which f is increasing. (Enter your answer using interval notation.) (4, 6)U(7, 9) U (11, 13) Find the interval(s) over which f is decreasing. (Enter your answer using interval notation.) (6, 7) U (9, 11) (b) Find the x-value(s) where f...
Let f(x) have derivative f'(x)=1-x(^2). Find the largest open intervals where f: a.) f has a...
Let f(x) have derivative f'(x)=1-x(^2). Find the largest open intervals where f: a.) f has a relative minimum value(s) when x=... b.) f has a relative maximum value(s) when x=...
5.1 - 2 (2 points) Let f(x) Find the open intervals on which f is concave...
5.1 - 2 (2 points) Let f(x) Find the open intervals on which f is concave up (down). Then determine the e-coordinates of all inflection points of 2 + 7 1. f is concave up on the intervals 2. f is concave down on the intervals 3. The inflection points 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 as (-int, 2),...
1)
2)
Let f(x) = 23 + 9x² – 812 +21. (a) Use derivative rules to find f'(x) = 3x2 +18% -81 (b) Use derivative or the derivative rules to find f''(x) = 60 + 18 (c) On what interval is f increasing (include the endpoints in the interval)? interval of increasing = (-0,-9] U [3,00) (d) On what interval is f decreasing (include the endpoints in the interval)? interval of decreasing = [-9,3] (e) On what interval is f...
Need some explanation on these please and thank you so
much!
Suppose f(x) is an invertible differentiable function and f(4) 5, f(5) 3, f'(4) 3, f' (3)-4 Find (l) (5). b) -3 d) 3 e) 9-7 4 g none of the above The graph of f"(a) (the second derivative of f) is shown below. Where is fCx) concave up? -4-3-223 4 6 a) (-0o,-6) u (5,7) -3, 6) D(-6,5) U (7,00) g)none of these.
Suppose f(x) is an invertible differentiable...
Find the largest open interval on which the graph of the function f (x) = x4 +6x3 x is concave down Use interval notation, with no spaces in between numbers and brackets. For example: (3,8) Answer: Which of the following statements are true about the function below on the interval [a,b]? AA The derivative is 0 at two values of x both being local maxima. The derivative is 0 at two values of x, one on the interval [a,b] while...
Let f(x)=3x-7/x+2. Find the open intervals on which f is concave
up (down). Then determine the x-coordinates of all inflection
points of f.
Let Find the open intervals on which is concave up down Then determine the X-coordinates of all inflection points of x = f is concave up on the intervals 1. 2. f is concave down on the intervals 3· The inflection points occur at Notes: In the first two, your answer should either be a single interval,...
Really need help on those two!! Show steps!!
( + 7)* Let f be defined by f(x) For the following, no decimal entries allowed. For parts (d) and (e), remember that you can enter your answer as an expression and let wamap be the calculator (a) List the critical valuc(s) of f. If there is more than onc, list them separated by commas. Preview (b) Find wheref is decreasing. Answer in interval notation Preview (c) Find where f is increasing....
17. Given the following function and its first and second derivative: 20-2 6-43 f'(x)= f"(x) = [2 pts] 1) Find the horizontal and vertical asymptotes of f(x), if any. f(x)=x-2x=1 نر [2 pts) ii) Find all critical numbers. Note: NOT a point, just critical numbers only. [5 pts) iii) Find the intervals of increasing and decreasing then finding all local maximum minimum values. [5 pts] Find the intervals of concave upward and concave downward. [2 pts) Find inflection point, if...
Suppose that a continuous function f has a derivative f' whose graph is shown below over the interval (4, 13). y=f'(x) 1 2 3 4 5 6 7 8 9 10 11 12 13 (a) Find the interval(s) over which f is increasing. (Enter your answer using interval notation.) (4, 6)U(7, 9) U (11, 13) Find the interval(s) over which f is decreasing. (Enter your answer using interval notation.) (6, 7) U (9, 11) (b) Find the x-value(s) where f...
5.1 - 2 (2 points) Let f(x) Find the open intervals on which f is concave up (down). Then determine the e-coordinates of all inflection points of 2 + 7 1. f is concave up on the intervals 2. f is concave down on the intervals 3. The inflection points 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 as (-int, 2),...
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