Question

Решите неравенство f'(x)/g'(x)< где f(x)=6x-2x^3,g(x)=4x-x^2.

Answer 1

f'(x)= 6-6x^2
g'(x)=4-2x
(6-6x^2)/(4-2x)<=0
6(1-x^2)/(4-2x)<=0
(1-x^2)/(2-x)<=0
2-x≠0
x≠2
--------_____+++++______--------_____+++++
-1 1 2
x∈(-∞;-1]⋃[1;2)