Find the intervals on which f is increasing and decreasing, find the local maximum and minimum values of f, find the intervals of cocavity and inflection f(x) 2x^3 + 3x^2 -36x
Increasing: x ∈ (-∞, -3) ∪ (2, ∞) Decreasing: x ∈ (-3, 2) Local maximum: (-3, 81) Local minimum: (2, -44) Concave downward: x ∈ (-∞, -0.5) Concave upward: x ∈ (-0.5, ∞) Point of inflection: (-0.5, 18.5)
