y'' = (22x^2 + 4x^3 - 3) '' = (44x + 12x^2)' = 44 + 24x
f"(x) = (x^3 - 6xln x)'' = (3x^2 - 6ln x - 6)' = 6x - 6/x
a(t) = (t^4 + 3t^2 - 3t + 1)" = (4t^3 + 6t - 3)' = 12t^2 + 6
a(2) = 12* 2^2 + 6 = 12* 4 + 6 = 48 + 6 = 54
y" = (6x^2 - x^3)" = (12x - 3x^2)' = 12 - 6x
12 - 6x = 0
6x = 12
x = 2 - точка перегиба
+ 2 -
○ >
При х ∈ (-∞; 2) функция вогнута, а при х ∈ (2; +∞) - выпукла.
y'' = (22x^2 + 4x^3 - 3) '' = (44x + 12x^2)' = 44 + 24x
f"(x) = (x^3 - 6xln x)'' = (3x^2 - 6ln x - 6)' = 6x - 6/x
a(t) = (t^4 + 3t^2 - 3t + 1)" = (4t^3 + 6t - 3)' = 12t^2 + 6
a(2) = 12* 2^2 + 6 = 12* 4 + 6 = 48 + 6 = 54
y" = (6x^2 - x^3)" = (12x - 3x^2)' = 12 - 6x
12 - 6x = 0
6x = 12
x = 2 - точка перегиба
+ 2 -
○ >
При х ∈ (-∞; 2) функция вогнута, а при х ∈ (2; +∞) - выпукла.