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!

Another slope problem

  1. Dec 7, 2007 #1
    1. The problem statement, all variables and given/known data

    the line tangent to the graph of f(x) = x-1/x at (2,3) has what slope?

    3. The attempt at a solution

    Same story with this problem, I remember doing it but can't remember how to attack the problem. can someone give me a good first step to go off of?
     
  2. jcsd
  3. Dec 7, 2007 #2

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    The slope of the tangent line to a curve, at any point, is the value of the derivative their. That's often taken as a definition of derivative. In order to differentiate, I would write that as f(x)= x- x-1.
     
  4. Dec 7, 2007 #3
    1 + 1/4 = 5/4, gotcha.

    so the 3/2 on the y axis has no role in determining the final answer?
     
  5. Dec 7, 2007 #4

    Office_Shredder

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    Of minor note, the graph doesn't actually pass through (2,3), but I'll assume it's a typo (though it would be a mean trick question)

    The value of f(x) is pretty much irrelevant to the slope of the tangent line, yes. (in fact, note you can add any constant to f, making it f(x)+c, and it will still have the same derivative.)
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Another slope problem
  1. Another problem (Replies: 2)

Loading...