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x f(x) - , .
( ) . x ( ).
. f(x), . .
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, , . .
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f(x) (a; b), - . f(x) . .
, . , , . , .
f(x) , .
f(x) (a; b), . , x (a; b) , , , f(x) (a; b).
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: , .
. , . , , , .
. y = f (x) x 0 x 0 + : f (x 0) f (x 0 + ). , ; : f (x 0 + ) - f (x 0) . y = f (x) x 0 :
, f (x) x 0 . f (x) :
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. y = f (x):
.1 , A B :
- AB.
, . A B, 0, . , A. : . .
. A (x 0, f (x 0)). f (x 0) :
y = f (x 0) x + b.
b, , A:
f (x 0) = f (x 0) x 0 + b,
, b = f (x 0) f (x 0) x 0, b, :
y = f (x 0) + f (x 0) (x x 0).
. : , : x x (t) t. t 0 t 0 + : x (t 0 + ) - x (t 0) = , : va = / . 0 , v (t 0) t 0. :
, v (t 0) = x (t 0), .e. . . , : a = v (t).