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Icecreamy
@Icecreamy
July 2022
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Найти производную функции :
А) у=(6х-1)×е^х
Б) у=е^х/7х-5
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А)у'=6×е^х+(6х-1)×е^х по формуле (uv)'=u'v+uv'
б)у=е^х/(7х-5)
y'=(e^x (7x-5)-(e^x)×7)/(7x-5)^2=((7х)е^х-5е^х-7е^х)/(7х-5)^2 по формуле( u/v)'=(u'v-uv')/v^2
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Answers & Comments
б)у=е^х/(7х-5)
y'=(e^x (7x-5)-(e^x)×7)/(7x-5)^2=((7х)е^х-5е^х-7е^х)/(7х-5)^2 по формуле( u/v)'=(u'v-uv')/v^2