g(x)=2x^2 * e^xg'(x) = (2x^2)' * e^x + 2x^2 * (e^x)' = 4xe^x + 2x^2 * e^x = e^x(4x+2x^2)g'(x) ≤0e^x(4x+2x^2)≤04x+2x^2≤0x^2+2x≤0x(x+2)≤0-2≤x≤0 -2;-1;0ответ: 3
g(x)=2x^2 * e^x
g'(x) = (2x^2)' * e^x + 2x^2 * (e^x)' = 4xe^x + 2x^2 * e^x = e^x(4x+2x^2)
g'(x) ≤0
e^x(4x+2x^2)≤0
4x+2x^2≤0
x^2+2x≤0
x(x+2)≤0
-2≤x≤0
-2;-1;0
ответ: 3