Question

f(x)=x^3/3-x^2+2
F'(x)>0

Answer 1

Решение
F(x) = x³/3 - x² + 2
F`(x) = x² - 2x
x² - 2x = 0
x(x - 2) = 0
x₁ = 0
x - 2 = 0
x₂ = 2

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- ∞        0             2        +∞ x
F`(x) > 0 при 
x ∈ (- ∞; 0) (2; + ∞)