Asap 9. For the following graphical representation of a function f(x):(1) Mark the points on the graph where the derivative is zero;(2) Show the regions where the function is increasing (positive derivative) and where it isdecreasing (negative derivative);(3) Sketch the first derivative f'(x):(4) Repeat steps (1)-(3) on the derivative f'(x) itself to sketch the second derivative f"(x),6422

Since you have posted a question with multiple subparts, so we will solve only the first three…

Answered: - For the following graphical…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.4: Average Rate Of Change Of A Function

Problem 2E

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The picture below shows the graph y = f'(x) of the derivative of f(x). X-values are labeled 'A', 'B', 'C', 'D', 'E' from left to right. This is the graph of f'(x), not the graph of f(x)! Part One: For each of the labeled points on the graph, classify the corresponding point on the graph of y = f(x): a. Point A: ? b. Point B: C. Point C: ? d. Point D: ? e. Point E Part Two: For each of the following intervals, classify whether the graph of y = f(x) is increasing or decreasing: а. (-оо, А) ? b. (А, B) ? с. (В, С) ? d. (C, D) ? е. (D, E) ? f. (Е, о) ? Part Three: For each of the following intervals, classify whether the graph of y = f(x) is concave up or concave down: а. (-о, А) ? b. (A, B) ? с. (В, С) ? d. (C, D) ? е. (D, E) ? f. (Е, о) ?
1. (#11 Exam 1 Review) Find the equation of the line tangent to the graph of the function: f (x) = x-2x² at x = 1. You must use the Definition of the Derivative to obtain the derivative. 2. (#9 Exam 1 Review) Sketch the graph of the function g for which: g(0) = g(2) = g(4) = 0, g' (1) = g(3) = 0,g' (2) = -1, lim g(x) = ∞, and lim g(x) = -∞ x 5 x-1+ 3. State the three-part Definition of Continuity. 4. (#13 Exam 1 Review) The graph of f is given. State, with mathematically correct reasons, the values for which f is not differentiable. -2 VA 0 2 4 X (Description: Graph with three components. First component is horizontal line in the 2nd quadrant to x = -2. Sharp turn upwards in downward arc into the 1st quadrant and ends with open dot where x = 1. Second component is solid dot at x = 1 vertically below the open dot. Third component begins with open dot at x = 1 below the solid dot. The graph falls in downward arc shape into the 4th quadrant, takes a sharp turn at x = 3 and continues as…
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Let F be a function whose derivative graph is shown below. Use the graph to answer the following questions. The graph of f'(x) NOT f(x) 9 6 3 -3 -6 -9 2 (a) Find f" (6) 1² (b) Find 4 10 Pay close attention to the function in each question. f"(x)dx 8 10 = 12 X (c) Find f(10)-f(8) (d) Select the correct symbol to show the relationship between the following integrals. 8 ["F"(x) dx =-Select- | F (x)dx| ✓
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A function f satisfies the following conditions. f(-3) = 2, f' (-3) = 0, f(-1) = 5, f' (-1) = 0, f (0) = 0, f' (0) = 0, f' (2) = -1 First sketch a possible graph of such a function and then sketch the graph of its derivative.
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- For the following graphical representation of a function f(x): (1) Mark the points on the graph where the derivative is zero; (2) Show the regions where the function is increasing (positive derivative) and where it is decreasing (negative derivative); (3) Sketch the first derivative f'(x);