806. Найти f′(0) и f′(2), если: 1) f(x)=x²−2x+1; 2) f(x)=x³−2x; 3) f(x)=−x³+x²; 4) f(x)=x²+x+1.

1. \(f'(x)=2x-2\).

   \(f'(0)=-2\), \(f'(2)=2\).

2. \(f'(x)=3x^2-2\).

   \(f'(0)=-2\), \(f'(2)=3\cdot2^2-2=10\).

3. \(f'(x)=-3x^2+2x\).

   \(f'(0)=0\), \(f'(2)=-3\cdot2^2+2\cdot2=-8\).

4. \(f'(x)=2x+1\).

   \(f'(0)=1\), \(f'(2)=5\).

Ответ: 1) \(f'(0)=-2\), \(f'(2)=2\); 2) \(f'(0)=-2\), \(f'(2)=10\); 3) \(f'(0)=0\), \(f'(2)=-8\); 4) \(f'(0)=1\), \(f'(2)=5\).