Question

найдите производную функции у=4-3х/х+5​

Answer 1

Ответ:

$y = \frac{4 - 3x}{x + 5}$

$y '= \frac{(4 - 3x)'(x + 5) - (x + 5)'(4 - 3x)}{ {(x + 5)}^{2} } = \\ = \frac{ - 3(x + 5) - (4 - 3x)}{ {(x + 5)}^{2} } = \frac{ - 3x - 15 - 4 + 3x}{ {(x + 5)}^{2} } = \\ = \frac{ - 19}{ {(x + 5)}^{2} }$