Points of inflection
Differentiation · Mathematics
Study notes
Q: Find the inflection points of y = x^4 - 6x^2. f''(x) = 12x^2 - 12 = 0 at x = ±1. Check: x<-1: f''>0 (up); -1<x<1: f''<0 (down); x>1: f''>0 (up). Concavity changes at both! Inflection: (±1, -5).