Question

Производные. Номер 6

Answer 1

$y = x \sqrt[4]{x} = {x}^{ \frac{5}{4} } \\ y'= \frac{5}{4} \times x { }^{ (\frac{5}{4} - \frac{4}{4}) } = \frac{5}{4} \sqrt[4]{x} \\ y'(16) = \frac{5}{4} \sqrt[4]{16} = \frac{5 \times 2}{4} = 2.5$