ОДЗ
x ∈ (0; 5)
(5 - x)x = 4
- x^2 + 5x - 4 = 0 / *(-1)
x^2 - 5x + 4 = 0
D = 25 - 16 = 9
x1 = (5 + 3)/2 = 4
x2 = (5 - 3)/2 = 1
Ответ
1; 4
F ' (x)=-sin x +2x
f '(0)=-sin0+2*0=0
f '(x)=-sinx+cosx
f '(П)=-sinП+cosП=0-1=-1
f '(x)=5cos5x
f '(0)=5cos(5*0)=5
f '(x)=-5sin 5x
f '(0)=-5 sin (5*0)=0