Предмет: Алгебра, автор: Аноним

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Ответы

Автор ответа: mikael2
0
1.  f(x)=x²-6x+8   f'(x)=2x-6   f'(2)=2*2-6=-2
2.  y= x^3-3x-7    y(0)=-7   y'(x)=3x²-3=3(x-1)(x+1)  y'(x)=0
-------------------- -1----------------------1-------------------
       +                               -                          + 
   возрастает             убывает              возрастает
                       max x=-1  y=-1+3-7=-5
                        min x=1    y=1-3-7=-9
                         y''(x)=6x  6x=0  перегиб в х=0
график приложен

3. s (t)=0.5sin2t   v(t)= s'(t)=0.5*2cos2t=cos2t  
v (π/4)=cos(2π/4)=cos (π/2)=0

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