Question

Производную функцийy= \frac{3}{5} x^{10} \\ y= \frac{3}{ x^{7} } \\ y= \sqrt[14]{ x^{5} } \\ y= \frac{1}{ x^{13} } + \sqrt[6]{ x^{5} }

Answer 1

$y= \frac{3}{5} x^{10} \\ y'=6x^9\\ \\ y= \frac{3}{ x^{7} } \\ y'= -\frac{21}{x^8}\\\\ y= \sqrt[14]{ x^{5} } =x^{ \frac{5}{14} }\\ y'= \frac{5}{14 \sqrt[14]{x^9} } \\\\ y= \frac{1}{ x^{13} } + \sqrt[6]{ x^{5} } \\ y'= -\frac{13}{x^{14}}+ \frac{5}{6 \sqrt[6]{x} }$