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nastya891
@nastya891
July 2022
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Прошу, помогите!
1.найти угловой коэффициент касательной у=(х^2-x+1)^2 в точке с абциссой х=-1
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kirichekov
Verified answer
k=f'(x₀)
x₀=1
f'(x)=((x²-x+1)²)'=2*(x²-x+1)*(x²-x+1)'=2(x²-x+1)*(2x-1)
f'(x₀)=f'(1)=2*(1²-1+1)*(2*1-1)=2*1*1=2
k=2
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Answers & Comments
Verified answer
k=f'(x₀)x₀=1
f'(x)=((x²-x+1)²)'=2*(x²-x+1)*(x²-x+1)'=2(x²-x+1)*(2x-1)
f'(x₀)=f'(1)=2*(1²-1+1)*(2*1-1)=2*1*1=2
k=2