Question

f(x)=3-x/2+x найди производную функции

Answer 1

Ответ:

$f(x) = \frac{3 - x}{x + 2}$

$f'(x) = \frac{(3 - x)'(x + 2) - (x + 2)'(3 - x)}{ {(x + 2)}^{2} } = \\ = \frac{ - (x + 2) - (3 - x)}{ {(x + 2)}^{2} } = \frac{ - x - 2 - 3 + x}{ {(x + 2)}^{2} } = \\ = - \frac{5}{ {(x + 2)}^{2} }$