F(x)=-x^3/3-1/2x^2+6/7 решите неравенство f ' ( x ) > 0

Question

F(x)=-x^3/3-1/2x^2+6/7 решите неравенство f ' ( x ) > 0

Answer 1

F`(x)=x²-x
x²-x>0
x(x-1)>0
x=0  x=1
x∈(-∞;0) U (1;∞)