1. Limited time only! Sign up for a free 30min personal 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!

Slope of a tangent line

  1. Sep 16, 2008 #1
    Find the slope of the functions graph at the given point.

    F(x) = x / x-2 point (3,3)

    f(x+h) - f(x) / h is what we have to use to find the answer.

    so ive plugged it all in and have came to this..

    ((3+h) / (3+h-2)) - 3 / h

    I need some help with my simplification skills. I do not know how to get rid of a fraction in a fraction in this case im guessing. Where would I need to go next?
  2. jcsd
  3. Sep 16, 2008 #2


    User Avatar
    Science Advisor
    Homework Helper

    By lack of brackets (and by the question) I assume you mean
    [tex]\frac{\frac{3+h}{3 + h - 2} - 3}{h}[/tex]

    You can start by simplifying 3 + h - 2.
    Next, look at the numerator
    [tex]\frac{3 + h}{3 + h - 2} - 3 [/tex]
    and write it as a single fraction:
    [tex]\frac{...}{3 + h - 2}[/tex]

    Then you have something of the form
    [tex]\frac{a}{b} / c[/tex]
    multiply by 1 in the form: b/b which will give you
    [tex]\frac{ab}{b} / (bc) = a / (bc)[/tex]
  4. Sep 16, 2008 #3
    Thank you that is what I meant.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: Slope of a tangent line
  1. Slope of Tangent Line (Replies: 3)