Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.

Topic: 1.39 - What exactly is the Mean value Theorem?
Replies: 29   Last Post: Jun 20, 2014 4:00 PM

 Messages: [ Previous | Next ]
 Virgil Posts: 9,012 Registered: 1/6/11
Re: 1.39 - What exactly is the Mean value Theorem?
Posted: Jun 19, 2014 3:59 AM

John Gabriel <thenewcalculus@gmail.com> wrote:

> In mainstream mythmatics, the MVT is ignorantly defined as follows:
>
> If f is a differentiable function on (a,b), then there is at least one point
> c, such that a secant line with endpoints (a,f(a)) and (b,f(b)) is parallel
> to the tangent line at c.
>
> But the converse of this is NOT true in mainstream calculus:
>
> If f is a differentiable function on (a,b), and a tangent line exists at c,
> then a parallel secant line exists with endpoints (a,f(a)) and (b,f(b)).
>
> However, the MVT works regardless of the converse being true. The reason for
> this, is that ignorant baboons (that would be you) do not know its real
> meaning. In the New Calculus, the MVT is defined properly:

In JG's improper NC, nothing is defined properly for proper calculus.
--

Date Subject Author
6/19/14 Virgil
6/19/14 johngabriel2009@gmail.com
6/19/14 Virgil
6/19/14 Wizard-Of-Oz
6/19/14 Dirk Van de moortel
6/19/14 Dirk Van de moortel
6/19/14 Virgil
6/19/14 Dirk Van de moortel
6/19/14 Dirk Van de moortel
6/19/14 Port563
6/19/14 Dirk Van de moortel
6/19/14 johngabriel2009@gmail.com
6/19/14 Virgil
6/20/14 Virgil
6/19/14 Virgil
6/19/14 Virgil
6/19/14 Virgil
6/19/14 Jeff Hebert
6/19/14 Jeff Hebert
6/19/14 Virgil
6/20/14 hoffman@spectre.com
6/20/14 Virgil