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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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 Virgil Posts: 8,833 Registered: 1/6/11
Re: 1.39 - What exactly is the Mean value Theorem?
Posted: Jun 19, 2014 1:41 PM

John Gabriel <thenewcalculus@gmail.com> wrote:

> On Thursday, 19 June 2014 13:31:35 UTC+2, Dirk Van de moortel wrote:
>

> > >> 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 ...
>
> > Try it out with a simple example such as
> > f(x) = x^2
> > a = 4
> > b = 7
> > Dirk Vdm

>
> ( 7^2 - 4^2 )/ 3 = (49-16)/ 3 = 33/3 = 11
>
> The ordinates of f'(x) are given by 2x. The average of the ordinates of f'(x)
> on the interval (4,7) is 11, as expected.
>
> So who is the fucking moron?

JG is!
--

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