co 1.4 The Derivative Function - E X + edfinity.com/assessments/649dOf7ca821200030e18716?start=true CHAIR: edfinity 1.4 The Derivative Function OPEN I am finished SFSU Math 226.01/02 Summer 2023 Consider the function f(x) shown in the graph below. Home ? Help Center 3 4 5 6 8 9 10 (Note that you can click on the graph to get a larger version of it, and that it may be useful to print that larger version to be able to work with it by hand.) Carefully sketch the derivative function of the given function (you will want to estimate values on the derivative function at different a values as you do this). Use your derivative function graph to estimate the following values on the derivative function. at c = -3 -1 1 3 the derivative is Submit answer Score: 12% (4/34) Completion: 20% (2/10)co 1.4 The Derivative Function - E X + edfinity.com/assessments/649dOf7ca821200030e18716?start=true CHAIR: edfinity 1.4 The Derivative Function OPEN I am finished 3. Practice similar SFSU Math 226.01/02 Summer 2023 Home (1 point) ? Help Center f(2) = 1-3x2 4 5 6 Find the derivative of the function above using the definition of the derivative. 8 9 10 Which of the following is the domain of the function? O A. Integers O B. x= 3 OC. x 2 -1/2 O D. Middle Earth O E. All real numbers except 0 OF. x > -1/2 O G. All real numbers OH. Nonnegative real numbers O I. Positive real numbers Which of the following is the domain of the derivative? Score: 12% (4/34) Completion: 20% (2/10) O A. All real numbers except 0 OB. x> -1/2co 1.4 The Derivative Function - E X + edfinity.com/assessments/649dOf7ca821200030e18716?start=true CHAIR: edfinity 1.4 The Derivative Function OPEN I am finished SFSU Math 226.01/02 O B. X= 3 Summer 2023 OC. x 2-1/2 O D. Middle Earth Home O E. All real numbers except 0 ? Help Center OF. > > -1/2 O G. All real numbers 4 5 6 O H. Nonnegative real numbers 8 9 10 O I. Positive real numbers Which of the following is the domain of the derivative? O A. All real numbers except 0 OB. x 2 -1/2 O C. Nonnegative real numbers O D. Positive real numbers O E. Integers O F. All real numbers O G. X=3 OH. x> -1/2 O I. Middle Earth Submit answer Score: 12% (4/34) Completion: 20% (2/10)00 14 The Derivative Function E X + v 6 9 0' edfinity.com/assessments/649d0f7ca82'l200030e18716?start=true (Ii '1} G ('3' it 3 El 6 3 nity 1.4 The Derivative Function EEI (_ SFSU Math 226'01/02 (Click on a graph to enlarge it.) Summer 2023 'n' Home ? Help Center A \\/ @a@a The graphs of 4 functions are shown above, and the graphs of the derivatives of those functions are shown below. Match the number of each graph of f (av) above with the letter of the graph of its derivative below, 1. 2. 3. 4. 527 Score: 120/a (4/34) V V Completion: 20% (2/10) 00 14 The Derivative Function E X + v 6 9 0' edfinity.com/assessments/649d0f7ca82'l200030e18716?start=true (Ii '1} G ('3' it 3 El 6 nity 1.4 The Derivative Function EEI (- SFSU Math 226'01/02 Summer 2023 'n' Home ? Help Center 1 2 3 4 The graphs of 4 functions are shown above, and the graphs of the derivatives of those functions are shown below. Match the number of each graph of f (m) above with the letter of the graph of its derivative below. 1. 2. 3. / 4. \\ VV A B C D (Click on a graph to enlarge it.) 527 Score: 12% (4/34) Completion: 20% (2/10) Submit answer co 1.4 The Derivative Function - E X + edfinity.com/assessments/649dOf7ca821200030e18716?start=true GRATIR: edfinity 1.4 The Derivative Function OPEN I am finished SFSU Math 226.01/02 ITEMS INFO Summer 2023 6. Practice similar Home ? Help Center A child inflates a balloon, admires it for a while and then lets the air out. If V(t) gives the volume of the balloon at time t, then 4 5 6 the figure below shows V'(t) as a function of t. 8 9 10 10 -1 1.0 20 At what time does the child: A. Begin to inflate the balloon? t = B. Finish inflating the balloon? t = C. Begin to let the air out? t = (What would the graph of V'(t) look like if the child had alternated between pinching and releasing the open end of the ballot letting the air out at constant rate?) Score: 12% (4/34) Completion: 20% (2/10)00 14 The Derivative Function E X + v 6 9 0' edfinity.com/assessments/649d0f7ca82'l200030e18716?start=true (Ii '1} (-3 ('3' it 3 El 6 3 nlty 1.4 The Derivative Function EEI (_ SFSU Math226i01/02 ITEMS INFO Summer2023 a Home E - -- ? HelpCenter Suppose that f is given for a: in the interval [0, 12] 3y an: 0 2 4 6 81012 H f(w):10131718171311 A. Estimate f'(2) using the values of f in the table. f '(2) % B. For what values of as does f'(w) appear to be positive? (Give your answer as an interval or a list of intervals, tag, (infinity,8] or (1,5),(7,10) .) C. For what values ofa: does f'(a:) appear to be negative? (Give your answer as an interval or a list of intervals, g, (-innity,8] or (1,5),(7,10) .) if? Score: 120/a (4/34) Completion: 20% (2/10) Answers (in Progress) 00 14 The Derivative Function E X 6 9 0' fi nity (_ SFSU Math 226'01/02 Summer 2023 Home ? Help Center (9 if? \"(9) Score: 12% (4/34) Completion: 20% (2/10) + i edfinity.com/assessments/649d0f7ca82'l200030e18716?start=true 1.4 The Derivative Function EEI ITEMS E Practice similar INFO lam finished Let f(m) he the function 12:52 9e + 4. Then the quotient M can be simplied to ah + b for: Submit answer Answers (in progress) Answer Score -/1 -/1 0/2 00 14 The Derivative Function E X + v 6 9 0' edfinity.com/assessments/649d0f7ca82'l200030e18716?start=true (I) 1} G (-Zc} j. .=J I] e nlty 1.4 The Derivative Function GED (_ SFSU Math226i01/02 ITEMS INFO Summer2023 Home a - -- ? HelpCenter The displacement (in meters) of a particle moving in a straight line is given by s=5t3+9t+1, @ . where t is measured in seconds. Find the velocity of the particle at the times given. Velocity at time t : 1 : Velocity at time t = 2 : Velocity at time t = 3 : Velocity at time t = a : $27 Score:12% (4/34) Completion: 20% (2/10) Answers (in progress) l l co 1.4 The Derivative Function - E X + edfinity.com/assessments/649dOf7ca821200030e18716?start=true CROATIR: edfinity 1.4 The Derivative Function OPEN I am finished SFSU Math 226.01/02 ITEMS INFO Summer 2023 10. Practice similar