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

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 Wizard-Of-Oz Posts: 111 Registered: 4/17/14
Re: 1.39 - What exactly is the Mean value Theorem?
Posted: Jun 19, 2014 7:10 AM

John Gabriel <thenewcalculus@gmail.com> wrote in

> 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.

That is correct.

> 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)).

Because that is NOT correct, and easily shown to be false.

There is no requirements the converse need to be true.

> However, the MVT works regardless of the converse being true.

A) What do you mean by 'works'
B) Why do you think whether or not a converse is true should be relevant?

> 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:
>
> If f is a differentiable function over (a,b), then {f(b)-f(a)}/(b-a)
> is the (natural) average of all the ordinates of f' over (a,b).

OMG ... no. Really? That is simply hilarious. You're a total fucking
moron.

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