VA HW#11 Ch3.2 Graphing using 1st x + X -> C a webassign.net/web/Student/Assignment-Responses/last?dep=29238589 TP * OK https://www.desmos.com/calculator For this assignment, you submit answers by question parts. The number of submissions remaining for each question part only changes if you submit or change the answer. Assignment Scoring Your best submission for each question part is used for your score. 1. [0/6 Points] DETAILS PREVIOUS ANSWERS BERRAPCALCBR7 3.2.003. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER For the graph, which of the numbered points are inflection points? (Enter your answers as a comma-separated list.) X 1,3,5,7 X Show My Work (Optional) 3 26 C 7:32 PM Mostly cloudy X 7/16/2022VA HW#11 Ch3.2 Graphing using 1st x + V X > C a webassign.net/web/Student/Assignment-Responses/tutorial?dep=29238589&tags=autosave#question4762624_3 4. [-/20 Points] DETAILS BERRAPCALCBR7 3.2.011.MI.SA. MY NOTES ASK YOUR TEACHER This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Consider the following function. f(x) = x4 - 24x3 + 162x2 + 7 Exercise (a) Make a sign diagram for the first derivative. Step 1 To make a sign diagram for the first derivative of f(x) = x4 - 24x3 + 162x2 + 7, we need the first derivative. Taking the derivative with the Power Rule, we have f' ( x ) = Submit Skip (you cannot come back). Exercise (b) Make a sign diagram for the second derivative. Click here to begin! Exercise (c Sketch the graph, showing all relative extreme points and inflection points. 26 C O 7:33 PM Mostly cloudy 7/16/2022VA HW#11 Ch3.2 Graphing using 1st x + V X C a webassign.net/web/Student/Assignment-Responses/tutorial?dep=29238589&tags=autosave#question4762624_3 To I K part. Consider the following function. f(x) = x4 - 24x3 + 162x2 + 7 Exercise (a) Make a sign diagram for the first derivative. Step 1 To make a sign diagram for the first derivative of f(x) = x4 - 24x3 + 162x2 + 7, we need the first derivative. Taking the derivative with the Power Rule, we have f' ( x ) = Submit Skip (you cannot come back) Exercise (b) Make a sign diagram for the second derivative. Click here to begin! Exercise (c) Sketch the graph, showing all relative extreme points and inflection points. Click here to begin! 26 C O 7:33 PM Mostly cloudy X 7/16/2022VA HW#11 Ch3.2 Graphing using 1st x + V X > C a webassign.net/web/Student/Assignment-Responses/tutorial?dep=29238589&tags=autosave#question4762393_7 To * K 8. [-/8 Points] DETAILS BERRAPCALCBR7 3.2.041.MI.SA. MY NOTES ASK YOUR TEACHER This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise For the function, find all critical numbers and then use the second-derivative test to determine whether the function has a relative maximum or minimum at each critical number. f(x) = x3 - 15x2 + 72x - 1 Step 1 To find the critical numbers of f(x) = x3 - 15x2 + 72x - 1, we need the first derivative. As this function is a polynomial, we use the Power Rule - xa = axe - 1 and differentiate each term of the function. f' ( x ) = Submit Skip (you cannot come back) # Show My Work (Optional) ? 3 26 C 7:34 PM Mostly cloudy X 7/16/2022