Question

Найдите производную функции
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Answer 1

(u/v)'=(u'v-uv')/v²

u=(х+5); v=(х-1);   (x-1)'=1;  (x+5)'=1;

((х+5)/(х-1))'=((x+5)'*(x-1)-(x-1)'*(x+5))/(x-1)²=(x-1-x-5)/(x-1)²=-6/(x-1)²