Question

$f(x) = ( \frac{1}{x} + 8)(5x - 2)$
Как решить? производная функции

Answer 1

$f(x)=(\frac{1}{x}+8)(5x-2)\\\\\star \; \; (uv)'=u'v+uv'\; \; \star \\\\y'=-\frac{1}{x^2}\cdot (5x-2)+5\cdot (\frac{1}{x}+8)=\frac{2}{x^2}+40$