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


In article <ffa712e69c544a5ea7a348487c45a9e4@googlegroups.com>, 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)}/(ba) > > >> 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 = (4916)/ 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! 

