02.04.2022

f(x)=(5+√x)(√x-5)+√x Найдите f'(x)

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Вопрос школьника по предмету Алгебра

f(x)=(5+√x)(√x-5)+√x Найдите f'(x)

Ответ учителя по предмету Алгебра

f(x)=√x²-5²+√x=x-25+√x

f`(x)=1-0+ 1/(2√x)=1- 1/(2√x)=(2√x-1)/2√x

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