textbrokercom X '9 Final Exam X 6 BusCaIc.pdf X t Dashboard Canvas LMS X ' My Drive - Google Drive X C 0 A NotSecure opentextbookstore.com/buscaIc/BusCalcvpdi Q i) 'L'? * El 0 Suggested Sites ' Gmail > YouTube Disney+ canvas 6 find cards saved on. BusCalc.pdf 120 / 272 1 2 If h(x) = x\"3 , then h '(x) = 3 {2/3 and h "(x) =7 {5'3 . h" is not dened if X: 0, but h "(negative number) > 0 and h "(positive number) C A Not Secure | opentextbookstore.com/buscalc/BusCalc.pdf Update : Suggested Sites M Gmail YouTube Disney+ canvas find cards saved o... Other Bookmarks E BusCalc.pdf 121 / 272 88% + Chapter 2 The Derivative Business Calculus 121 6. Sketch the graphs of functions which are defined and concave up everywhere and which have (a) no roots. (b) exactly 1 root. (c) exactly 2 roots. (d) exactly 3 roots. In problems 7 - 10, a function and values of x so that f'(x) = 0 are given. Use the Second Derivative Test to determine whether each point (x, f(x)) is a local maximum, a local minimum or neither 120 7. f(x) = 2x3 - 15x2 +6, x=0, 5. 8. g(x) = x3 - 3x2 - 9x + 7, x=-1, 3. 9. h(x ) = x4 - 8x2 - 2, x=-2, 0, 2 . 10. f(x) = x.In(x) , x=1/e . 11. Which of the labeled points in the graph are inflection points? 121 12. Which of the labeled points in the graph are inflection points? 122 13. How many inflection points can a (a) quadratic polynomial have? (b) cubic polynomial have? (c) polynomial of degree n have? 14. Fill in the table with "+", "-", or "0" for the function shown. f(x ) f'( x ) f"(x) WN - 123textbroker.com X -out- Final Exam X 5 BusCalc.pdf X Dashboard X Canvas LMS X My Drive - Google Drive X -> C A Not Secure | opentextbookstore.com/buscalc/BusCalc.pdf Update : Suggested Sites M Gmail YouTube Disney+ canvas find cards saved o... Other Bookmarks E BusCalc.pdf 122 / 272 88% f(x) f'(x) f"(x) WN - OX 120 Chapter 2 The Derivative Business Calculus 122 15. Fill in the table with "+", "-", or "0" for the function shown. X g (x ) g'( x ) g "(x ) 121 WN - C In problems 16-22 , find the derivative and second derivative of each function. 16. f(x) = 7x2 + 5x- 17. f(x) = (2x - 8)5 18. f(x) = (6x - x2) 10 19. f(x) = x . (3x + 7)5 122 20. f(x) = (2x3 + 3)6 21. f(x) = Vx2+ 6x- 1 22. f(x) = In(x2 + 4) 123textbrokercom X '9 Final Exam X 9 BusCaIc.pdf X t Dashboard Canvas LMS X ' My Drive - Google Drive X C 0 A NotSecure opentextbookstore.com/buseaIc/BusCalcpdi Q i] '13? * El 0 Suggested Sites ' Gmail > YouTube Disney+ canvas 6 find cards saved 0... BusCalc.pdf 133 / 272 To nd Global Extremes: The only places where a function can have a global extreme are critical points or endpoints. (a) If the function has only one critical point, and it's a local extreme, then it is also the global extreme. (b) If there are endpoints, nd the global extremes by comparing y-values at all the critical points and at the endpoints. (c) When in doubt, graph the function to be sure. 2.7 Exercises . Find all of the critical points of the function shown and identify them as local max, local min, or neither. Find the global max and min on the ( 'le_''* interval. . Find all of the critical points of the function shown and identify them as local max, local min, or neither. Find the global max and min on the interval. ' ' In problems 3 , 8, nd all of the critical points and local maximums and minimums of each function. 3, f(X)= x2+8x+7 4,f(x)=2x212x+7 5. f(x)=x376x2+5 6.f(x)=(xil)2(x73) 7. f(x)=ln(x26x+ll) 8.f(x)=2x396x+42 In problems 9 , 16 , find all critical points and global extremes of each function on the given intervals. 9. f(x) x2 7 6x + 5 on the entire real number line. 10. f(x) x3 on the entire real number line. 11. f(x x3 3x + 5 on the entire real number line. 12. f (x) xe' on the entire real number line. 13. ((x) x276): + 5 on [72, 5]. 14. f(x) = 2 , x3 on [72,1]. 15. f(x)= x373x+5 on [72,1]. 16. f(x) xie" on [1,2]