Question

Найти прозвводные и их дифференциалы (б)

Answer 1

б)

$y' = \frac{(x + 3)'(2x - 5) - (2x - 5)'(x + 3)}{(2x - 5) ^{2} } = \\ = \frac{2x - 5 - 2(x + 3)}{ {(2x - 5)}^{2} } = \\ = \frac{2x - 5 - 2x - 6}{ {(2x - 5)}^{2} } = - \frac {11}{ {(2x - 5)}^{2} } \\ \\ dy = - \frac{11}{ {(2x - 5)}^{2} } dx$