5.5 Calculus Answer

University:
California State University, Northridge
Course:
MATH 150B | Calculus II
Academic year:

2024
Views:

71

Pages:

2
Author:

customer-8677517

Problems 5-6, Use the graph of the f' to sketch the graph of f and the graph of f ^ prime prime . 5. y = f' * (x) 6. " N=(x) 7 ^ 1 Problems 7-8, Sketch the graph of the function, f, given the following information. 7. A. continuous for all real numbers B. f' * (x) < 0 on (- ∞, - 3) and (0,3) C. f' * (x) > 0 on (-3,0) and (3,00) D. f^ prime prime (x) > 0 on (-0, 0) and (0,6) E. f^ prime prime (x) < 0 on (6,00) F. f' * (0) does not exist 8. A. continuous for all real numbers B. f' * (2) does not exist C. lim x -> - ∞ f(x) = 2 D. f' * (x) > 0 (- ∞, - 1) and (2,5) E. f' * (x) < 0 on ((5,00) F. f^ prime prime (x) > 0 on (100,-3) G. f^ prime prime (x) < 0 on (-3,2) and (2,00) et 24 4 2 6 Sahana 9. The graph of a function f is shown on the right. Fill in the chart with +,-, or 0. Point f(x) f' * (x) f^ prime prime (x) C D t + + A B C 0 D 10. The graph of f^ prime prime (x) , the second derivative of f is shown at Use the graph to determine The x-coordinate of the inflection points. Justify your answer. x=0 and P(J,I) beewuse x = 4ac x^ prime prime (x) chanyes sign from (+) to at x = sigma and (-) to (4) atx=4 11. Use the information from g, g' and g ^ prime prime to sketch a graph of the function g(x) = x/(x ^ 2 - g ^ 2) B 2 2 2+