f (x) 0, f (x 0). f (x 0 + D ).
, f (x0 + Dx) = f (x0)+ Df.
, D , D f 0 dy , f ¢(x 0)D x,
f (x 0 + D x) f (x 0) + f ¢(x 0)D x.
= 0 + D ,
f (x) f (x 0) + f ¢(x 0)(x x 0).
:
sin (x0 + Dx) sin x0 + cos x0Dx;
cos (x0 + Dx) cos x0 sin x0Dx;
;
ln (x0 + Dx) ln x0 + ;
;
arcsin (x0 + Dx) arcsin x0 + .
. .
. f (x) = = = 34. 0 , , . 0 = 32, f (32) = , D = 34 32 = 2 , ,
; ; .