1) y=f(x) [a;b], 2) (), , (a;b),
(a;b) ,
(a;b): f(b)-f(a)=
(c)(b-a)
.
1. f(a)=f(b) . (0=0(b-a))
2. f(a)≠f(b). .
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f(a) |
f(b) |
A |
B |
L |
x |
y |
L׀׀AB,
φ()=
f()-φ()= f()-0= f()
f(b)-φ(b)=f(b)-f(b)+f(a)=f(a)
g(x)=f(x)- ,
g(a)=f(a)=g(b)
g(x) : [a;b], .. f(x) . (a;b) , ()=
()-
. , , ..
(a;b):
(c)=0
(c)=
()-
=0, ..
...
- .
f(c) |
C |
B |
A |
bb |
a |
c |
f(b)-f(a) |
b |
b-a |
a |

tg b=tg a. , , , (c,f(c)) , .