Question

Найдите производную функции!

Answer 1

$displaystyle f(x)=bigg(sqrt[4]{x}+frac{2}{sqrt[4]{x}}bigg)bigg(sqrt[4]{x}-frac{2}{sqrt[4]{x}}bigg)=sqrt[4]{x^2}-frac{2^2}{sqrt[4]{x^2}}=sqrt{x}-frac{4}{sqrt x}\\\f'(x)=frac{1}{2sqrt x}-bigg(-frac{1}2cdot4cdotfrac{1}{sqrt{x^3}}bigg)=boxed{frac{1}{2sqrt x}+frac{2}{sqrt{x^3}}}$