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Value 5.00 points For the given funcion,ldentl the statement that shows the O The second derivati...
Determine where the second derivative of the function is positive and where it is negative. Determine...
Determine where the second derivative of the function is positive and where it is negative. Determine where the graph of the given function is concave upward and concave downward. Find the coordinates of all inflection points. f(x) = x3 + 6x2 + x + 9 O A. Concave upward for x>-2; concave downward for x < -2; inflection at (-2, 11) B. Concave upward for -3.9<x< .0.1; concave downward for x < -3.9 and x > -0.1; inflection at (-3.9,...
A graph of f(x) is displayed, and a slider shows the tangent lines at points on...
A graph of f(x) is displayed, and a slider shows the tangent lines at points on the graph. A second graph shows two curves labeled I and II. One of these is a graph of f'(x) and the other is a graph of F"(x). II Slopes of tangent lines increasing b (A) Graph f(x) (B) Graph of first two derivatives Since the slope of the tangent lines to y = f(x) is increasing from left to right, which statement must...
a. Determine whether the Mean Value Theorem applies to the function f(x) = x + on...
a. Determine whether the Mean Value Theorem applies to the function f(x) = x + on the interval [3,6]. b. If so, find or approximate the point(s) that are guaranteed to exist by the Mean Value Theorem. a. Choose the correct answer below. O O A. No, because the function is not continuous on the interval [3,6], and is not differentiable on the interval (3,6). B. No, because the function is differentiable on the interval (3,6), but is not continuous...
Find the maximum and minimum values of the function g(0) interval [o. 7 2θ-4 sin(θ) on the Preview Minimum value-pi/3+2pi Maximum value O Preview Given the function f(z) = 2e - List the x-coordinates...
Find the maximum and minimum values of the function g(0) interval [o. 7 2θ-4 sin(θ) on the Preview Minimum value-pi/3+2pi Maximum value O Preview Given the function f(z) = 2e - List the x-coordinates of the critical values (enter DNE if none) DNE List the x-coordinates of the inflection points (enter DNE if none) DNE List the intervals over which the function is increasing or decreasing (use DNE for any empty intervals) Increasing on DNE Preview Decreasing on -1/5 *Preview...
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...
I need a detailed answer please 2) (11 points) The below figure shows the graph of...
I need a detailed answer please
2) (11 points) The below figure shows the graph of derivative function f '(x) of a function f(x). The domain of f(x) and f(x) are (-0,0). Use the figure to answer the following questions मिनि a) Find all critical numbers of f(x). b) Find the open intervals on which the function f(x) is increasing. f(x) is increasing on c) Find the open intervals on which the function f(x) is concave up. f(x) is concave...
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...
Calculate the Y values corresponding to the X values given below. Find the critical values for X ...
Calculate the Y values corresponding to the X values given below. Find the critical values for X for the given polynomial by finding the X values among those given where the first derivative, dv/dx- 0 and/orn X values where the second derivative, d-y/dx2-0. Be sure to find the sign (+ or-) of dv/dx and of d'y/dx2 at all X values. Using the first and second derivative tests with the information you have calculated, determine which X value(s) represent maximums (MAX),...
(a) A function / has first derivative f'(z) = and second derivative 3) f"(x) It is also known that the function...
(a) A function / has first derivative f'(z) = and second derivative 3) f"(x) It is also known that the function f has r-intercept at (-3,0), and a y-intercept at (0,0) (i) Find all critical points, and use them to identify the intervals over which you will examine the behaviour of the first derivative ii) Use the f'(), and the First Derivative Test to classify each critical point. (ii) Use the second derivative to examine the concavity around critical points...
1. (20 points) The second derivative of a function f(x) satisfies f "(x) = 10x4 -...
1. (20 points) The second derivative of a function f(x) satisfies f "(x) = 10x4 - 2 Moreover, f'(0) = 0 and f(1) = 0. (a) Find the function f(x). (b) Draw a graph of f(x). Indicate all asymptotes (if any), local maxima and minima, inflection points, intervals where f(x) is increasing, and intervals where f(x) is concave upward.
Determine where the second derivative of the function is positive and where it is negative. Determine where the graph of the given function is concave upward and concave downward. Find the coordinates of all inflection points. f(x) = x3 + 6x2 + x + 9 O A. Concave upward for x>-2; concave downward for x < -2; inflection at (-2, 11) B. Concave upward for -3.9<x< .0.1; concave downward for x < -3.9 and x > -0.1; inflection at (-3.9,...
A graph of f(x) is displayed, and a slider shows the tangent lines at points on the graph. A second graph shows two curves labeled I and II. One of these is a graph of f'(x) and the other is a graph of F"(x). II Slopes of tangent lines increasing b (A) Graph f(x) (B) Graph of first two derivatives Since the slope of the tangent lines to y = f(x) is increasing from left to right, which statement must...
a. Determine whether the Mean Value Theorem applies to the function f(x) = x + on the interval [3,6]. b. If so, find or approximate the point(s) that are guaranteed to exist by the Mean Value Theorem. a. Choose the correct answer below. O O A. No, because the function is not continuous on the interval [3,6], and is not differentiable on the interval (3,6). B. No, because the function is differentiable on the interval (3,6), but is not continuous...
Find the maximum and minimum values of the function g(0) interval [o. 7 2θ-4 sin(θ) on the Preview Minimum value-pi/3+2pi Maximum value O Preview Given the function f(z) = 2e - List the x-coordinates of the critical values (enter DNE if none) DNE List the x-coordinates of the inflection points (enter DNE if none) DNE List the intervals over which the function is increasing or decreasing (use DNE for any empty intervals) Increasing on DNE Preview Decreasing on -1/5 *Preview...
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...
I need a detailed answer please
2) (11 points) The below figure shows the graph of derivative function f '(x) of a function f(x). The domain of f(x) and f(x) are (-0,0). Use the figure to answer the following questions मिनि a) Find all critical numbers of f(x). b) Find the open intervals on which the function f(x) is increasing. f(x) is increasing on c) Find the open intervals on which the function f(x) is concave up. f(x) is concave...
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...
Calculate the Y values corresponding to the X values given below. Find the critical values for X for the given polynomial by finding the X values among those given where the first derivative, dv/dx- 0 and/orn X values where the second derivative, d-y/dx2-0. Be sure to find the sign (+ or-) of dv/dx and of d'y/dx2 at all X values. Using the first and second derivative tests with the information you have calculated, determine which X value(s) represent maximums (MAX),...
(a) A function / has first derivative f'(z) = and second derivative 3) f"(x) It is also known that the function f has r-intercept at (-3,0), and a y-intercept at (0,0) (i) Find all critical points, and use them to identify the intervals over which you will examine the behaviour of the first derivative ii) Use the f'(), and the First Derivative Test to classify each critical point. (ii) Use the second derivative to examine the concavity around critical points...
1. (20 points) The second derivative of a function f(x) satisfies f "(x) = 10x4 - 2 Moreover, f'(0) = 0 and f(1) = 0. (a) Find the function f(x). (b) Draw a graph of f(x). Indicate all asymptotes (if any), local maxima and minima, inflection points, intervals where f(x) is increasing, and intervals where f(x) is concave upward.
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