E C Chegg Study | Guided Solut C E C Curve Sketching X C Ch Curve Sketching ? ?
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E C Chegg Study | Guided Solut C E C Curve Sketching X C Ch Curve Sketching ? ? ?https://smccd.instructure.com/courses 14464/assí nments/161939 Assignments Discussions ? Messages The function f(x)-6z* - 36.18x2 is increasing on the open interval ( Questions 493.776x - 0.14 Q1 [3/3] Grades People Pages Files Syllabus Quizzes Modules Conferences Collaborations MH Campus MH Connect ) and the open It is decreasing on the open interval (-oo, interval ( Account The function has a local maximum at Q7 (0/3) Dashboard License Points possible: 3 Unlimited attempts Message instructor about this question Post this question to forum Q9 (0/3) Q 10 (0/3) Q 11 (0/3) Q12 (0/3) C Q 13 (1/3) Q 14 [3/3] C Q 15 (0.6/3) Courses Submit Calendar Grade: 13.6/45 Inbox Print Version Course Chat O Type here to search 3-10 PM A/1/2018Explanation / Answer
f(x)= -6x^3 -36.18x² +493.776x -0.14
Find derivative using power rule as
f'(x) = -18 x^2 - 72.36 x + 493.776
To find critical point, set f'(x) =0
-18 x^2 - 72.36 x + 493.776 =0
-18(x-3.6)(x+7.62) =0
x= -7.62 , 3.6
Hence, increasing in open interval (-7.62, 3.6)
Decreasing in open interval (-infinity, -7.62) U (3.6, infinity)
The function has a local maximum at x= 3.6, or say in ordred pair (3.6, 1028.76)
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