У' =((3х^(3/4)-х)*(2х^7-2х^5))'
=(3х^(3/4)-х)'(2х^7-2х^5)+(3*<span>x^(3/4)-x)(2х^7-2х^5)' =
=</span> (3*(3/4)х^(3/4-1) - 1)(2х^7 - 2х^5) +<span>(3х^(3/4) - х)(2*7х^(7-1) - 2*5х^(5-1)) =</span>((9/4)х^(-1/4) - 1)(2х^7 - 2х^5) + <span>(3х^(3/4) - х)(14х^6 - 10х^4) =</span>((9/2)х^(3/4) - 2x)(х^6 - х^4) + (3х^(3/4) - х)(14х^6 - 10х^4) =
= (9/2)х^((3/4)+6) - (9/2)х^((3/4)+4) - 2x^7 +2х^5 + 42х^((3/4)+6) -<span>30х^((3/4)+4) - 14х^7 +10х^5=
=</span> (9/2)х^(27/4) - (9/2)х^(19/4) - 16x^7 +12х^5 + 42х^(27/4) -<span>30х^(19/4)=</span>(93/2)х^(27/4) - (69/2)х^(19/4) - 16x^7 +12х^5 <span />
F(x)=3-14sinx находим по таблице производных
Квадратный корень из 25 будет 5Ответ:5