-Ec tangentei
y-yo=f `(xo)*(x-xo) relatia (1
f `(xo)=[1*(x-1)-x*1]/(x-1)²=- 2/(x-1)²
f (2)=yo=2/(2-1)=2
f `(2)=-2/(2-1)²=- 2
Inlocuiesti valorile i (1 si obtii
y-2=- 2*(x-1)
y=- 2x+6
Asimptote orixontale la + /-∞
x→+/-∞ lim(x)/(x-1) grd numaratorului=grad numitor
Asimptote vericala
x<1 ,x→1 limx/(x-1)=1/(1-0-1)=1/-o=-∞
x>1 x→1 lim f(x)=1/(1+0-1)=1/+0=+∞
