Question

Найдите производную функции x^-4/5

Answer 1

$f(x) = x^{-\frac{4}{5}}\\\\ f'(x) = -\frac{4}{5} * x^{-\frac{4}{5}-1} = -\frac{4}{5} * x^{-\frac{9}{5}} = -\frac{4}{5} * \frac{1}{x^{\frac{9}{5}}} = -\frac{4}{5\sqrt[5]{x^9}}$