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Sonya9800
@Sonya9800
July 2022
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Очень прошу помочь с алгеброй, пожалуйста, СРОЧНО
Найти производную функции f(x)=x2/3x+1
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Lesben
F(x)=x²/((3x+1) , x≠-1/3
(u/v)´=(u´v-uv´)/v²
f´(x)=(2x(3x+1)-x².3)/(3x+1)²=(6x²+2x-3x²)/(3x+1)²=
=(3x²+2x)/(3x+1)²
1 votes
Thanks 1
Sonya9800
Спасибо большое
Lesben
Net za čto. Do cvidanija!
mikael2
Y=x²
/(3x+1)
y=u/v y'=1/v
²[u'v-v'u]
u=x² u'=2x v=(3x+1) v'=3
y'=1/(3x+1)²[2x(3x+1)-3*x²]=1/(3x+1)²[3x²+2x]
1 votes
Thanks 1
Sonya9800
Спасибо большое
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Answers & Comments
(u/v)´=(u´v-uv´)/v²
f´(x)=(2x(3x+1)-x².3)/(3x+1)²=(6x²+2x-3x²)/(3x+1)²=
=(3x²+2x)/(3x+1)²
y=u/v y'=1/v²[u'v-v'u]
u=x² u'=2x v=(3x+1) v'=3
y'=1/(3x+1)²[2x(3x+1)-3*x²]=1/(3x+1)²[3x²+2x]