Question

найдите производную функции у=f (x)
1

Answer 1

$( sqrt{x sqrt{x} })` = (x^{1/2}*x^{1/4})`=(x^{3/4})`= frac{3}{4}x^{3/4-1}=\\=frac{3}{4}x^{-1/4}= frac{3}{4 sqrt[4]{x} } \\\ (frac{1}{x sqrt[3]{2x} })`=( frac{1}{ sqrt[3]{2} } x^{-1}*x^{-1/3})`= frac{1}{ sqrt[3]{2}}*(x^{-4/3})`=frac{1}{ sqrt[3]{2}}*(- frac{4}{3})*x^{-7/3}=\\= -frac{4}{3 sqrt[3]{2x^7} }=-frac{4}{3x^2 sqrt[3]{2x} }$