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Тошка7
@Тошка7
August 2022
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найти наибольшее и наименьшее значение функции на отрезке Y=(2X-1)/(X-1)^2 На [-1/2;0]
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sedinalana
Y`=[2*(x-1)²-2(x-1)*(2x-1)]/(x-1)^4=2(x-1)(x-1-2x+1)/(x-1)^4=-2x(x-1)/(x-1)^4=
=-2x/(x-1)³=0
x=0∈[-1/2;0]
y(-1/2)=(-2)/2,25=-8/9 наиб
y(0)=-1/1=-1наим
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Answers & Comments
=-2x/(x-1)³=0
x=0∈[-1/2;0]
y(-1/2)=(-2)/2,25=-8/9 наиб
y(0)=-1/1=-1наим