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veronica250
@veronica250
August 2022
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Найдите производную заданной функции:
9.31(буква а)
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sangers1959
Verified answer
Y=(x²-1)/(√x+1)=(x-1)(x+1)/(√x+1)=(√x-1)(√x+1)(x+1)/(√x+1)=(√x-1)(x+1)=
=x√x+√x-x-1
y`=(x√x+√x-x-1)`=(x³/²+√x-x-1)`=3√x/2+1/(2√x)-1=(3√x+1/√x-2)/2.
ОТВЕТ: y`=(3√x+1/√x-2)/2.
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veronica250
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Answers & Comments
Verified answer
Y=(x²-1)/(√x+1)=(x-1)(x+1)/(√x+1)=(√x-1)(√x+1)(x+1)/(√x+1)=(√x-1)(x+1)==x√x+√x-x-1
y`=(x√x+√x-x-1)`=(x³/²+√x-x-1)`=3√x/2+1/(2√x)-1=(3√x+1/√x-2)/2.
ОТВЕТ: y`=(3√x+1/√x-2)/2.