Question

Найти производную функции y=f(x) порядка n
y=(1+x^2)*cosx
n=8

Answer 1

1) 2⋅x⋅cos(x)-sin(x)⋅(x2+1)
2) cos(x)⋅(1−x2)−4⋅x⋅sin(x)
3) sin(x)⋅(x2−5)−6⋅x⋅cos(x)
4) 8⋅x⋅sin(x)+cos(x)⋅(x2−11)
5) 10⋅x⋅cos(x)+sin(x)⋅(19−x2)
6) cos(x)⋅(29−x2)−12⋅x⋅sin(x)
7) sin(x)⋅(x2−41)−14⋅x⋅cos(x)
8) 16⋅x⋅sin(x)+cos(x)⋅(x2−55)