Question

У=4/x+sqrt х в степени 5. найдем производную заданой функции плз

Answer 1

$y=\frac{4}{x}+(\sqrt x)^5=\frac{4}{x}+x^\frac{5}{2}\\y`=-\frac{4}{x^2}+2.5x^\frac{3}{2}=-\frac{4}{x^2}+2.5(\sqrt x)^3$

Answer 2

$y=\frac{4}x+(\sqrt x)^5\\\\\boxed{\bf y'=-\frac{4}{x^2}+\frac{5}2(\sqrt x)^3}$