. . .
́ , . ( ). , , .
.
,
. , (2.11). , , , , :
( )
( )
.
) г . , , , . ., .
:
, , a , , (2.11) , , .
) . , , ( , ),
.
,
.
a .
, .
, .
. .
. . .
dy . (4) . y = , ' = ' =1, dy = dxx. ,
- y = f (x) : dy = f' (x) dx (5).
( ) .
f , g , h(x) = g(f(x)) .
.
1. .
|
|
d (a + b) = da + db
, .
2. .
d (2a) = 2d (a)
3. , . :
d (uv) = du * v + dv * u
y = x sinx, :
y = (xsinx) = (x) * sinx + (sinx) * x = sinx + cosx ^ 2.