f'(x)=2x-1,
tg α =f'(x_(0)),
1) α =45^(o),
tg45^(o)=1,
f'(x_(0))=2x_(0)-1,
1=2x_(0)-1,
2x_(0)=2,
x_(0)=1.
Ответ: 1.
2) α =135^(o),
tg135^(o)=tg(90^(o)+45^(0))=-ctg45^(o)=-1,
f'(x_(0))=2x_(0)-1,
-1=2x_(0)-1,
2x_(0)=0,
x_(0)=0.
Ответ: 0.
1) α =60^(o),
tg60^(o)=sqrt(3),
f'(x_(0))=2x_(0)-1,
sqrt(3)=2x_(0)-1,
2x_(0)=sqrt(3)+1,
x_(0)=(sqrt(3)+1)/2.
Ответ: (sqrt(3)+1)/2.