Cost Of Building A Squash Court

Teorema di Lagrange

If you take the theorem of Rolle and Lagrange's theorem turns get (compare the two figures, this one with that of the previous page):
fact the assumptions are same except in extreme value equal to [f (a) = f (b)] and also the thesis 'that there is a point where the tangent and' parallel to the segment joining the ends of the curve considered (ie the derivative has the same inclination of the segment).
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Matematicamente:
Data una funzione y=f(x)
continua in un intervallo chiuso e limitato [a, b]
e derivabile all'interno dell'intervallo allora esiste all'interno dell'intervallo un punto c tale che:
f(b) - f(a)
f '(c)= ---------------
b-a