matematykaszkolna.pl
wyznacz asymptote i ekstrema asymptoty: 2*x1/3 f(x)=−−−−−−−− x+1
3 lut 22:58
toJa:
 2*1/3x−2/3 * (x+1) − 1(2*x1/3) 
f ' (x) =
=
 (x+1)2 
 2/3x−2/3(x+1) − 2*x1/3 2/3x1/3+2/3x−2/3−2x1/3 
=
=
=
 (x+1)2 (x+1)2 
 2/3x1/3+2/3x−2/3−2x1/3 −4/3x1/3+2/3x−2/3 
=
=
 (x+1)2 (x+1)2 
f ' (x) = 0
−4/3x1/3+2/3x−2/3 
= 0
(x+1)2 
−4/3x1/3+2/3x−2/3 = 0 /*x2/3 −4/3x + 2/3 = 0 4/3x = 2/3 x = 2/3 *3/4 = 2/4 = 1/2
4 lut 00:20