{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Calculus 5e_Part153 - 304 CHAPTER 4 APPLICATIONS OF...

Info icon This preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
304 ❙❙❙❙ CHAPTER 4 APPLICATIONS OF DIFFERENTIATION The graph of the second derivative of a function is shown. State the -coordinates of the in fl ection points of . Give rea- sons for your answers. 8. The graph of the fi rst derivative of a function is shown. (a) On what intervals is increasing? Explain. (b) At what values of does have a local maximum or mini- mum? Explain. (c) On what intervals is concave upward or concave down- ward? Explain. (d) What are the -coordinates of the in fl ection points of ? Why? 9. Sketch the graph of a function whose fi rst and second deriva- tives are always negative. 10. A graph of a population of yeast cells in a new laboratory cul- ture as a function of time is shown. (a) Describe how the rate of population increase varies. (b) When is this rate highest? (c) On what intervals is the population function concave upward or downward? (d) Estimate the coordinates of the in fl ection point. 11–20 |||| (a) Find the intervals on which is increasing or decreasing. (b) Find the local maximum and minimum values of . (c) Find the intervals of concavity and the in fl ection points. 11. 12. f x 5 3 x 2 x 3 f x x 3 12 x 1 f f 2 0 Time (in hours) 6 10 14 Number of yeast cells 4 8 12 16 18 100 200 300 400 500 600 700 3 y 0 x 5 7 1 9 y=fª(x) f x f f x f f f y=f·(x) 2 y 0 x 4 6 8 1 f x f f 7.
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern