Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Question help local max and local min etc

  1. Mar 23, 2010 #1
    For any constant c, define the function f-subscript c withe formula f-subscript c(x)= x^3 + 2x^2 + cx

    a)graph y= f-subscript c(x) for these values of the parameter c: c = -1,0,1,2,3,4. What are the similarity and differences among the graphs, and how do the graphs change as the parameter increases?

    b) For what values of the parameter c will f-subscript c have one local maximum and one local minimum? use calculus. As c increases, what happens to the distance between the local maximum and local minimum?

    c)for what values of the parameter c will f-subscript c have no local maximum or local minimum?use calculus.

    d)are there any values of the parameter c for which f-subscript c will have exactly one horizontal tangent line?

    i need the answer to the questions to be explanations including what rules you used and any steps involved. really appreciate it thanks in advance.
  2. jcsd
  3. Mar 23, 2010 #2


    Staff: Mentor

    Being a new member of this site, you might not have read the rules, particularly the ones about homework help. To see the rules, click the Rules button on the menu bar across the top of the page.

    If you want help, you need to show that you have made a substantial effort first.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook