Question

найти производную функции

Answer 1

y'=((√(4+x²)/x)'=
(1/2•((4+x²)^(-1/2))*2x*x-(4+x²)¹/²•1)/x²=
(x²(4+x²)^(-1/2)-(4+x²)¹/²)/x²
y'(5)=(25•(1/(√29))-√29)/25
1/25*(25-29)/√29=
-4/(25√29)