Question 12or the function f(x) whose derivative is graphed above, mark all true statements below.1-2-3-42 3 4Of(x) has a local minimum at x = 3Of(x) has a local minimum at x = 1Of(x) has an inflection point at x = 3Of(x) has a local maximum at x = 15

Answered: Image /qna-images/answer/8b9412d9-8d81-46bf-9256-bf007602394b.jpg

Answered: D Question 12 or the function f(x)…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter8: Graphing Quadratic Functions

Section: Chapter Questions

Problem 17CT

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Experiment 3: 3D. Does f'(0), the y-coordinate on the gray line at x = 0, have any relationship to the derivative value f'(0)? 3E. Does f'(0), the y-coordinate on the derivative line at x = 0, have any relationship to f(0), the y-coord. on the parabola at x = 0?
1(e) Answer with "true or false". In addition, if the answer is false, correct the statement. For any function f(x) - a^x the derivative function is (shown in the picture). If the answer is false, correct the statement.
Find the values of x at which the function has a possible relative maximum or minimum point. (Recall that ex is positive for all x.) Use the second derivative to determine the nature of the function at these points. f (x) = (1 + x)e-3x
Let 2x-4/x-1 (d) Determine intervals on which the function is increasing; determine intervals on which the function is decreasing. (h) With the aid of the information obtained in parts (a) - (g), give a reasonable sketch of the curve. (a) X=2 (2,0) Y=4 (0,4) (g) To find the inflection point, we need to find the value for which the double derivative is equal to 0. f''(x)−4(x−1)3−4===000f''(x)=0-4(x-1)3=0-4=0 This statement is false because −4≠0-4≠0 for any real value of x. Since f''(x) cannot be equal to zero for any real value of x, therefore there is no inflection point. Answer: (e) No relative maxima and no relative minima. (f) Function f(x) is concave up over the interval (−∞,1)(-∞,1) and concave down over the interval (1,∞)(1,∞). (g) There is no inflection point. please quickly
5.2(4) PLEASE SHOW YOUR WORK STEP BY STEP THANK YOUUU :)) Calculates the second derivative of the function (shown in the image) Determines the intervals on which the graph of the Function is concave upwards and the intervals on which it is concave downwards.
I'm having a bit of confusion in figuring out the concavity when considering the first derivative (increasing or decreasing). Can you please sketch a graph that satsify the below requirements and explain why the concavity is the way it is in regard to the first derivative. I am aware that f''(x)>0 is concave up while f''(x)<0 is concave down. Domain: (-infinity,1) U (1,3) U (3, infinity) f'(x)>0 for (x < -3), and (-1 < x < 1). f'(x)<0 for (-3 < x < -1), (1 < x < 3), and (x > 3). f''(x)>0 for (-2 < x < 1), (1 < x < 2), and (x > 3). f''(x)<0 for (x < -2) and (2 < x < 3). Limits: Limit of x as it approaches 1, f(x) approaches infinity. Limit of x as it approaches 3 from the left, f(x) approaches - infinity. Limit of x as it approaches 3 from the right, f(x) approaches infinity. Limit of x as it approaches infinity, f(x) approaches 2. Points: f(-1) = 4 f(2) = 1
Consider a function y =f(t) with domain (0. 1, 4. 2).Use the graph of the derivative function, y=f'(t) ,given below to write down the t -value of the local maximum of f. If the function has no local maximum, explain why not
The graph of the first derivative of a function is shown a) How can we know in which intervals the function f (x) is increasing and where it is decreasing? b) From f´ (x), how can we identify at what values of x, f (x) has a relative maximum or minimum?
Experiment 1: 1D. State the slope of the tangent line by substituting x = 2 into the derivative f'(x). State the value f'(2). 1E. Does f'(2), the y-coordinate on the gray line at x = 2, have any relationship to the derivative value f'(2)? 1F. Does f'(2), the y-coordinate on the gray line at x = 2, have any relationship to f(2), the y-coordinate on the parabola at x = 2?
Solve No : 2 2. Use Leibnitz’s Theorem to find the nth derivative of x3ln(x).

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D Question 12 or the function f(x) whose derivative is graphed above, mark all true statements below. -2 -3 -4 2 3 4 Of(x) has a local minimum at x = 3 Of(x) has a local minimum at x = 1 Of(x) has an inflection point at x = 3 Of(x) has a local maximum at x = 1 5 6