Предмет: Математика, автор: anz478

Производная частного
y=4x^2-3/x^+1

Ответы

Автор ответа: kirichekov
0
y'=( frac{4 x^{2} -3}{ x^{2} +1} )'= frac{(4 x^{2} -3)'*( x^{2} +1)-( x^{2} +1)'*(4 x^{2} -3)}{( x^{2} +1) ^{2} } =
= frac{8x*( x^{2} +1)-2x*(4 x^{2} -3)}{( x^{2} +1) ^{2} } = frac{14x}{( x^{2} +1) ^{2} }
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