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!

Slope of a tangent = limit of the function?

  1. Mar 20, 2008 #1
    Slope of a tangent = limit of the function???

    Hi.


    I want to ask .
    Can it be true that

    The slope of a tangent line is a limit of a function.

    or

    The slope of a tangent line can be considered as a limit of a function?

    ?????

    Is it the same I mean the slope of a tangent line and a limit of a function
    or I am dreaming something?

    thanks in advance
     
    Last edited: Mar 20, 2008
  2. jcsd
  3. Mar 20, 2008 #2
    Did you mean the limit of the rate of change of a function? Maybe you should explain more what you meant by "the limit"
     
    Last edited: Mar 21, 2008
  4. Mar 21, 2008 #3
    The slope of a line tangent to a function f at a point x is the derivative of that function f, evaluated at x. The derivative of a function at a fixed point x is, by definition, a limit. Do you know the definition of [tex]f'(x)[/tex]?
     
  5. Mar 21, 2008 #4
    The definition???
    I am not sure.

    I know that this is a function. And depends what kind of function is if I imput a value for
    x I will have an aoutput.

    And also for a sertain value of x I will recieve a certain value for y.
     
  6. Mar 21, 2008 #5
    Has your professor/teacher not gone over derivatives in class yet? If not, the Wikipedia entry on derivatives will give you the definition (and the solution!).
     
  7. Mar 21, 2008 #6
    Thank you guys once again.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Slope of a tangent = limit of the function?
  1. Slope of tangent (Replies: 12)

Loading...