f(x)=(x-1)^2/(x+2)
f`(x)=(2(x-1)(x+2)-(x-1)^2)/((x+2)^2=
=(2(x^2+x-2)-(x^2-2x+1))/((x+2)^2=
=(x^2+4x-5)/((x+2)^2=(x-1)(x+5)/((x+2)^2
+ - - +
[-5](-2)[1]
max перегиб min
Xmin=1
f(x)=(x-1)^2/(x+2)
f`(x)=(2(x-1)(x+2)-(x-1)^2)/((x+2)^2=
=(2(x^2+x-2)-(x^2-2x+1))/((x+2)^2=
=(x^2+4x-5)/((x+2)^2=(x-1)(x+5)/((x+2)^2
+ - - +
[-5](-2)[1]
max перегиб min
Xmin=1