1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Rolle's Theorem Please Help

  1. Oct 17, 2007 #1
    1. The problem statement, all variables and given/known data
    Use Rolle's Theorem to find all values of c n the open interval (a,b) such that f'(c)=0
    F(x) = (x^2 - 2x + 3) / (x + 2)
    Closed interval [-1, 3]

    2. The attempt at a solution
    Okay so...
    F(-1) = F(3)
    F'(x) = [(x+2)(2x+2)] - [(1)(x^2-2x-3)] / (x+2)^2
    simplified to (x^2 + 4x - 1) / (x + 2)^2
    I need to solve for x and I am having an algebra block! How do I do that?
     
  2. jcsd
  3. Oct 17, 2007 #2

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    F'(x) vanishes if the numerator vanishes. It's a quadratic equation. But check your derivative first. It didn't come out right.
     
  4. Oct 17, 2007 #3
    Oh okay....One more....
    I have (2/3)x^(-1/3) = 1
    How do solve for x again?
     
  5. Oct 17, 2007 #4

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    Multiply both sides by 3/2, then take both sides to the power of -3. Where did I come up with 3/2 and -3???
     
  6. Oct 17, 2007 #5
    I don't know??
     
  7. Oct 17, 2007 #6

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    I'm trying to get x by itself. Multiplying by 3/2 cancels the 2/3, taking it to the power of -3 cancels the -1/3 exponent. Now I have x on one side and just numbers on the other. It's called 'algebra'.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Rolle's Theorem Please Help
  1. Rolle's Theorem (Replies: 11)

  2. Rolle's Theorem (Replies: 1)

  3. Rolles Theorem (Replies: 2)

  4. Rolle's theorem (Replies: 10)

Loading...