navbar-top.gif
btn_spacer.gifHomeTopicsLatestRandomAboutFAQsParticipateAuthoring Areabtn_spacer.gif

Flett's Theorem
Flett's theorem: Given a function differentiable on with , then there is an intermediate point such that
.
Geometric interpretation: The secant line connecting the points and is exactly the tangent line to the curve at the point .
The example used is the function on the interval .


Reference: T. M. Flett, "A Mean Value Theorem," Math. Gazette, 42, 1958 pp. 38-39.


"Flett's Theorem" from The Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/FlettsTheorem/
Contributed by: Soledad Mª Sáez Martínez and Félix Martínez de la Rosa.
Free Download: Mathematica Player--Runs all Demonstrations & more
Related Topics

Some Related Demonstrations

Share & Bookmark This Demonstration

Contribute
Powered by Wolfram Mathematica
Give us your feedback
Give us your feedback

Source page:




 often  occasionally  never

Note: Please do not include anything you consider confidential or proprietary. We will keep your information private. We will not give it to any third party.
Privacy Policy »
©  2008 The Wolfram Demonstrations Project & Contributors    Wolfram Research    Site Index    Terms of Use    Privacy Policy    RSS    Atom