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olenkavolkova3
@olenkavolkova3
August 2022
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Найти производную функции Срочно пожалуйста!
f(x)=x²(x+2)²
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Tanda80
Производная произведения:
f'(x) =(x^2)'*(x+2)^2+x^2*((x+2)^2)'=
=2x*(x+2)^2+x^2*2(x+2)=2x(x+2)(x+2+x) =
=2x(x+2)(2x+2)=4x(x+2)(x+1)
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Answers & Comments
f'(x) =(x^2)'*(x+2)^2+x^2*((x+2)^2)'=
=2x*(x+2)^2+x^2*2(x+2)=2x(x+2)(x+2+x) =
=2x(x+2)(2x+2)=4x(x+2)(x+1)