Question

решите производную пж
f(x) =ln(1/x)​

Answer 1

$f(x) = ln( \frac{1}{x} ) \\ \\ f'(x) = \frac{1}{ \frac{1}{x} } \times ( - \frac{1}{x ^{2} } ) = - x \times \frac{1}{x ^{2} } = - \frac{1}{x} \\ \\ OTBET: - \frac{1}{x}$